I am still a fan of the Mauser M-98action.
I have made several 300 H&Hs on them in the past. It involves some metal work to open up the magazine, lap the bolt back until the 3rd lug bears and heat treat the action and bolt, but the results have always been worth it to me. I have made some very fine classic rifles that way, and the 300 H&H is a TRUE classic. Made this way, you can seat the bullets out where they are supposed to be, and the ballistics lack very little if anything in comparison to the Winchester of Norma round.