I'll second the recommendation for a modern hammer gun as your first, and I will strongly recommend the Bernardellis, as shown above. Modern steel in the barrels, 2-3/4" chambers, and safe for moderate steel loads if the chokes are appropriate. I think the VB hammer guns are the best looking of the modern, mid-priced hammer guns, and probably still the best value in that segment of the market. I own two of them. Never owned a Husky, but lots of guys recommend them and the prices are right. The VBs come in several configurations and barrel lengths (approx 26"-30"), 12 and 20 gauge, PG or straight grip, coin or case color finish, little or lots of engraving. And you can shoot promo loads from WalMart or whatever else you find on sale.
Your budget will allow you to get into some pretty nice guns, maybe even an American classic like a Parker, but those will generally have Damascus or twist barrels, which means low pressure loads. You might even find a decent Brit hammer gun for $3K, but it will take some looking. Don't overlook the Belgian guns, but be careful what you buy.