The other question is what % skeet and what % pheasant? I got my son a Browning Cynergy CX for trap and he wanted to take it pheasant hunting. That thing is like carrying a railroad tie around the pheasant fields. Great trap gun. I even like shooting it for trap. After 2 days of hunting he was like hey dad, let me carry your Benelli (Legacy 20 ga) in the next field. After that walk, he didn’t want to give it back. I had told him to bring my Franchi 48 AL 20 ga and he wouldn’t do it. I bet he doesn’t shoot that Browning in the field again.
Benelli O/Us are nice but very light. Most people I know that have one in 12 ga are not fond of the recoil. But that’s all subjective. I really like Beretta O/Us. I have a silver pigeon but there are some nice options in your price range.
Now, if you’re not interested in brand spanking new there is always a Marlin Model 90 with double triggers (the more I shoot my O/U and SxS with double triggers the more I like them), or a Ruger Red Label. Lots of nice options.