The .308 Garand should have less recoil than a 30-06 Garand. I would certainly check the headspace to make sure it is correct. Use .308Win gauges, which are actually a little tighter than 7.62NATO gauges. Even though your barrel is marked 7.62, it is more than likely cut to .308 specs. Also, check the gas port size. While an improperly drilled gas port(read that as too large) may not affect the recoil that much, if there is too much pressure an oversized gas port may cause battering. Proper .308 gas port size is .089" (#43 drill bit size), though I have seen specs listed for ports at .093"-.096". For comparison, stock 30-06 port size is .079".
While it is commonly accepted that commercial .308 ammo is loaded to higher pressures than military 7.62 ammo, The American Rifleman magazine had a short note a few years back that they had found military 7.62 ammo with higher pressures than commercially made .308 ammo.