I agree that you can use any guitar for any style, but smaller bodies seem to be generally preferred for finger style playing if given a choice. If nothing else, it would be good to compare comfort of a GC versus a larger guitar to see what suits you. I am a big guy, I only play finger style, and I prefer smaller bodies like OM's and GC's. That said, I had a carbon fiber Rainsong dread for a while, and I had no issue playing finger style on that. Depending on hand size and playing style, you might also prefer a 1 3/4" nut rather than 1 11/16", but again, it is a matter of preference.
I recently came back to guitar with a GC7, which is obviously a GC sized body, 1 3/4" nut and a shorter scale. It is a great finger style guitar. It was used, but mint, and it came in under the figure you mentioned. I have seen several GC series around in that range since, so there are options out there.
Best thing to do is to play a bunch of guitars with different specs, and zero in on the traits that fit your body and playing style.