Right thats a single colur on the finished body and i't most likely done by shooting an amber aneline dye and then clear coating on top. Those dyes come in two flavours. Water soluble and alcohol soluble. If you go that root you want to look for water soluble as they give you more working time and slightly easier mix and prep. I use alcohol dyes but have a good deal of experience with them. They can be tricky.
Back on topic. You have several options to get a high gloss finish and it's not really harder than spraying just takes longer and requires some housekeeping and prep.
Option one. Water stain and waterborne lacquer. LMI and Stewmac sell good products. You can use other finishes but I'm not familiar with the US range others may help you there. Any finish will brush on if it can be sprayed you just need to adjust the thinning accordingly.
For all methods the prep is the same. Sand from 240 through to 1000 grit. I sometimes go to 2000 depending on the timber. When you think you've done enough of each grit go back and do it again. Then once more that may well be enough.

Seriously careful sanding will save you all manner of time and effort so don't cut corners just to get to the wet stages.
You'll need to fill the grain on the mahogany unless you real lucky. The maple is close grained and won't need any grain fill. Do that before any final sanding. What you use is really down to personal choice. I have used everything from pumice and shellac to clear epoxy resin, which may be your best bet. Avoid the off the shelf fillers from hardware stores they are rubbish and invariably shrink if not right away in a few months or even years down the line. Have a word about what grain fill you want to attempt once you've done some research and I'll offer any advice I can.
Once you've done the prep work you need to think about the colour or stain.
Mask off the neck pocket and binding using masking tape and pin stripe tape. Get a bunch of similar colour maple sample blocks to test. They don't have to be quilted but some figure is a good idea as it's the figure that grabs the colour. Mix up your thin amber dye in water and test wipe it onto your test piece. You will get an idea of the the depth of colour when it is wet but it will look like crap when it's dry. Don't worry your final coats will sort that. Once dry add as many subsequent ragged on colour coats till you get to the depth of colour your after. Also try to get a feel for rubbing the colour on evenly without rubbing through previous colour coats. Water stains don't build that well so you may need to mix up a stronger stain. The important thing here is not to go to hard. You can get it as wet as you like just work evenly and wipe off evenly. Once your happy with the stain, lightly rub or brush on a shellac sealer coat, then a few more. Go easy you don't want to move the colour about. This will give a barrier coat and seal in the colour. The shellac will also help "pop" the grain. When working with stains and dyes always try to keep a wet edge and don't go back over and area you've done until it's completely dry.
Popping the grain is a process that involves getting some darker or in this case translucent material into the end grain that is the figure. It adds contrast and improves the figure. I always pop the grain with an oil or shellac. That's what gives that great 3d effect. Simply using a darker colour stain doesn't do that. The light needs to bounce right back out of the grain. I do it before any colour coats but that's not so easy with water based stains as the oil or shellac can seal the timber in places resulting in uneven colour. Not a problem with alcohol stains.
Now you can start on the actual guitar and get the colour on and seal it in.
Once you've done that you can turn your attention to the clear coats. You can brush these on quite happily it just requires a practiced hand and a very good quality brush. you'll also need to flat out more often between coats that if you were spraying. Again practice on test pieces first to get a feel for the flow and keep a wet edge at all times. Don't go back over runs if you spot any you'll just drag the finish. Cut them out when dry with 400 grit and re coat. Work in a meticulously clean area, dust is you enemy. Keep the area dust free and avoid opening and shutting doors too much when you have a wet coat on. Your first three or four coats are the hardest because you need to get enough build on there to avoid cutting back into the colour coat. I would advise no cutting back for the first three coats just a light denib with 400 grit.
Nearly forgot you would have removed the masking from the binding after sealing in the colour and cleaned up with a sharp razor blade. Don't take any colour off the wood go carefully. It's better to have the colour lap over the binding than have a white line where you've gone through the colour to bare wood.
Once you have a good build of four or five coats of lacquer, flat out any runs and build another three or four final coats. Keep these as even as you can. Once done put it aside for a week or so depending on what the manufacturer recommends. If in doubt a week in a warm dry well ventilated area is a minimum. After that you can flat out starting with 600 grit working to 1200 grit. The burnishing can be done with T cut or whatever your US car suppliers burnishing product is. Final buffing can be one with cotton wool and a fine jewelers paste like rouge or similar. Test every stage on scrap first and don't rush.
option two is to do a similar process but with a preval spray system. These are a useful inexpensive spray setup that fills the gap between rattle cans and a proper spray setup. Although not ideal a really good finish can be done with them with practice..
You could spray your colour coats too which may make things easier. Other than that the process is essentially the same. You would save some time cutting and flatting if you get the layup evenly sprayed.
Option three, find a friend with a spray system and get him to do the colour and build coats. You can do the flatting and burnishing yourself.
Option four. The nitro rattle cans. I really really don't like these but they are out there. If you use them do so in a well ventilated area and watch all safety requirements.
Option five. Get it finished out. I know it's a cop out but finishing can be tricky unless you have the patience and skills required. Be patient, careful methodical and test every step on scrap first.
Did I mention test on scrap first.
