That's why I asked (again). I know everyone has different levels of recoil sensitivity but the 38-55 is a pretty good fit for the OP's other requirements. Heck, drill a hole in the butt under the plate and add a couple pounds of lead - or get a heavier barrel installed.
My stepdad had an old Remington Hepburn in 38-55 with a very heavy barrel - the rifle weighed almost 18 pounds. We would shoot it all afternoon with factory loads - recoil was almost nil.