There are quite a few s x s doubles that will work. The difficulty is ejectors! You didn't say anything about ejectors, so extractors are reliable and easier. Fine handling characteristics are harder to come by. I had a chance to use an turkist gun, I believe was an emperor? Extreme lightweight, had choke tubes, and a lot of value for the bucks, they are new, and should be in your budget. There are quite a few Savage/fox "B" grade guns that are a good value. Lots of good German Simson guns, lots of Eibar made Spanish guns, Aya, Garbi's, Saresquetta, are better value. They are NOT good with steel shot, the Emperor is. I would advise against the Brazilian Rossi, I have never seen one was not a two x four to handle, and left you a cheek welt, like a prize fighter. With all double guns, it is advisable to handle it to see how it fits, there are a lot of variance in doubles depending on manufacturer. If it were me, I would avoid tubes, get Imp. Cyl.-Modified, and call it a day! Shotgun shells can be customized to range, density, etc. My fear is chokes are not always regulated to what you think you are getting, in both pattern and line of sight. You'll shot better. I use old doubles, as do my kids, 5# Ithaca Flues 20ga.'s which again uses 2 1/2 inch shells. guns are definitely in you price range, no tubes, no steel.