A good muzzle brake will reduce the recoil to about that of your .243 or less.
Probably ought to stick with the 22-250 for the next two or three weeks, and by then you s hould have a nice brake for your other gun installed.
There are lots of good brakes out there, the VIAS might be the best combination of recoil reduction and price, but the PRI is right up there with it as well.
This is a very good one too.
VARMINT BRAKE - Brownells
For maximum recoil reduction this is a very good design as well but I woldn't recommend it for prone shooting unless you are on hard/dry or using a mat that extends beyond the muzzle.
RIFLE MUZZLE BRAKES - Brownells