FYI, I just (I mean just, like an hour ago or so)spent time behind a browning abolthunter IIchambered in a 325wsm, shooting 200gr handloads. Recoil wise it was more then 300 wsm, IMO comparable to a 338wm.

If they all fit like a glove then it it's a matter of which one you like better in looks/features. Both have solid followings and IME both have shown they can be made to shoot. Something to consider is once you add scope, rings and cartridges you'll easily add over 1lb to the rifle. It may help narrow the list if you have a couple that bare are on the edgeof comfort level off hand.