My daughter's .243 seemed to have excessive muzzle jump. So we shipped it to MagnaPort in Michigan. Their patented process cuts four slots near the muzzle without marring the blueing at all. No more muzzle jump and recoil reduced to almost zero. No extra noise either. Cost was about $135. a few years ago.
I think it ported barrel would be a good option. It doesn't usually cut recoil to the degree that a muzzle brake will, but it should reduce it a bit and cut down on muzzle jump.
That being said, I hear good things about badger brakes.