I noticed the same problem. Recoil is minimal but muzzle rise is a small problem for me the lighter the rifle.
I had a fabain brothers muzzle brake/flash suppressor in my spares box so I put it on a 14.5 barrel to test it. Its old, I picked it up a long time ago and looks like a standard A2 with a brake behind it.
It worked pretty good but it seemed long even for a 14.5 barrel. I took the suppressor to a friend who does machining work and he shortened it, made two groves resembling an A2 and put a couple of wrench flats on the back. By shortening it I lost some of the braking effect as the threaded part of the barrel covers up some of the brake holes. It still proves to be an effective brake/suppressor hybrid
It makes a 14.5 barrel a little over 16" now that its permanantly attached and helps with muzzle rise. I'm pleased with the way it turned out.
I have no idea where you'd get one though. In fact, I dont remember where I got this one. I beleive I got it in a trade back in the 80's sometime.