I'll just 1+ for a 1911, and pretty much any Sig. If you do not mind buying used, Sigs can be had for a very good price. Also new from a dealer on an auction site is within your budget. But best would be to handle it before buying. My short list for you,
P226, 9mm, .40S&W/.357 Sig. pick one
Beretta 92/96 90-two,if you can find one
Any quality 1911
Good luck with the search. Mind you, these are my favorites, but may not be yours.