SanFran - best bet may be to go to a local range and post a note for someone to call you who may let you shoot their .375 rifle. Go on a Saturday or Sunday and you may just luck out.
: Most properly stocked .375's are easier to shoot than a typical 8 1/2 pound .300 mag.
; I should add here that the Ruger #1 in .375 H&H is a sweetheart to shoot.