Just eye-balling the 220F bolt and a Stevens long action, the handles appear to be the same. As pdog said, I've had mine apart but I didn't pay much attention to the bolt handle....I like the over sized knob that's on it. The guts of the bolt are completely different though.

As far as your accuracy issue, you're on the right track....different rings or get some Warne bases. My 220F wears a Warne 1pc. tactical base and Burris Sig Zee rings (high) w/Nikon Slughunter.