Nola, you might need to decide a couple of related questions. First, are you looking for a surf amp specifically, or is the goal to expand your palette of tones while getting something that will cover the occasional surf thing? Second, do you want another Fender or would you rather branch out?
If surf were your No1 priority, price were no object, and loud were no barrier, I'd say go get a Twin Reverb and be done with it. The reissues can be had used for under a grand, or about fifteen hundred new. But given that you are already struggling to be able to crank up your brownface, a Twin Reverb would be about as practical as buying a tank for your daily commuter ride.
Beyond that, as much as I love the classic Fender combos there are some modern features I'd be looking for if I already owned a Fender and were looking to add a second amp. For example, DI cab emulation and an FX loop. Not to mention, for home recording a head/cab arrangement can offer you a lot of work flow advantages over a combo that might not seem like a big deal initially, but that over time will have you reaching for the head more often. Less rattle too.
That DI out is a massive, massive advantage. As noise is already an issue for you, it lets you be productive in times and places when could not otherwise play, and without resorting to a sim. Nothing wrong with sims (or a modeling amp, same idea), but you and I have chosen not to use them. I'm sure there are better and worse emulations out there, but the ones on my Tubemeister 18 and especially my Mesa 5:25 are both good. Likewise the FX loop. Without a loop, your effects pedals are going into the front end. That sounds great for some effects, not so much for others. There is actually a way to chain the two channels of an amp like the Fender Deluxe to simulate an FX loop, though you need a way to reverse the phase of a signal to avoid cancellation.