The CZ guns fall in your price range.  the Pheasant and the Bob White.  They are well made good looking guns that have both English and American features.  English - Splinter fore ends, double triggers, and strait wrists
American - Screw in chokes, double beads, single trigger, pistol or prince of whales grip, and beaver tail or semi beaver tail fore ends.
www.cz-usa.comI would also look in the used bins for an LC-Smith, Hunter, Baker, Ithaca, Browning BSS, or SKB (Ithaca 100-400) for a good used side by side.
If you can find the Ugathatecha guns from Spain.  The old M30 is a good looking game gun.  I own two.
Also own all of the used guns I named. Plus the Stevens 311.  Not as good looking but functional.
Down side to the SXS is the Cowboy action shooters have driven up the prices.  You used to get a SXS of the same quality as an O/U for about 2/3 the price.