First, I put all my Handi barrels on dedicated frames. Second, I put them all on synthetic stocks. Why? Because they don't scuff and scratch, ding or dent. I can load shot in the stock to reduce recoil to when and where I want it. The barrel contact is not a variable. I guess I'd hang a bipod on any of them, but I really don't see a need to. Bipod shooting isn't something we really do around here. Unless you want to try it in two feet of snow.
Pete