There’s no magic in a SxS. Get one that fits and you’ll shoot it well. Your budget will allow you to get a good one. Your money will go a LOT farther on the used market. A 12ga will get you more gun for the money. A small bore will run 50% more. IMO it is best to avoid the shortest and lightest guns that seem “quick”. A 28 inch 12ga will be plenty quick enough and will be much easier to shoot well.

A few that I like within your price range are Ithaca/SKB, Browning BSS, Ithaca NID, and the Fox Sterlingworth. I’ve also seen some quality Spanish guns in this range. Take your time and learn your way through the process and/or get expert advice. Budget some money to have chokes opened if necessary. Best wishes.