electric sets are really expensive i think you should use an acoustic set with triggers to prevent whatever distortion you are getting.
First let me say that my personal opinion is that electric kits (or hybrid acoustic kits with triggers) in a home studio almost always sound better than acoustic kits because most people's living rooms are not designed to be all that acoustically pleasing. This isn't to say that good drum tones can't be done at home with acoustic kits, but in most cases.
But the idea that an e-kit is more expensive is a little off to me. Lets put the scenario together:
Even an intermediate kit will run you roughly $6-800 for the shell kit. Then you need cymbals, and IMO you can't cheap out on cymbals as junky zxt ziljians sound and record like junky
ziljian zxt cymbals.
But lets say you decide to just get a zxt or zbt or whatever pack. So tack on another $300, although personally I would rather that number be around twice that with a set of nice cymbals. So roughly a min of around a grand for a useable brand new drumset.
Oh but we are forgetting the mics, mic cable, and mic stands. I'll say for the sake of being cheap that this can be done for $400 (although, I really doubt it).
So now the cost for real drums with real mics is up to $1400.
Now lets switch over to e drums:
You can purchase a brand new Rolland TD-4 for a thousand bucks, a m-audio midi module for $40 and a copy of addictive drums for $200.
So e-kit $1250
So on the cheap side acoustic drums are in the same area (sort of, like I said what I consider a good acoustic drums, not including mics would be in the ballpark area of $2k or more new purchase price). But the quality you would get with e drums in a home studio environment would be pretty staggering.