Ok pete, I was being a bit of a smart apple there. Yes, I've read about the delightful Euro doubles, but I do not own one, and I don't know if I've ever swung one. Due to the cost involved, I doubt I ever will. I was in a shop in central PA a few years ago, you had to buzz in, like a private club. They opened up, (I was with my brother inlaw, a serious claybird guy, they knew him) and the place had doubles worth more than my truck(s), combined.
I had to search "American Arms" and did not come up with much. My actual knowledge of shotguns, especially doubles, is pretty limited. A shotgun for me has been a pump since my teen years, mostly to hammer turkeys.Seems like I read that one reason the svelte doubles are so common across the Atlantic, is the loads is/were lighter.
I reread the OP, and agree that a 12 ga is the way to go for the question posed.
I am not a fan of the 3-1/2 in guns, and believe for deer and turkey the 3" shell is plenty. Heck the 2-3/4 short mags do fine in most guns. The 1100 has a world of fans. It and its relative, the 11-87, have diminished in popularity a bit suffering to the popularity of the high dollar inertia guns, but the line is still well thought of. The 1100's are common here in the used market for reasonable prices. A cleanup and new seals and I bet most anyone would run fine.