I'm not a gunsmith but off the top of my head jumping from a 300 Wby bolt face to a 300 Norma bolt face is a big jump, sooo, it sounds like there could be an extractor issue. (oh, BTW, you would probably get more good advice in the gun smithing forum for this subject) Anyway, the 30-378 rim is only 6 thou smaller than the 300 Norma, so should be an easy mod, if they are both 9 lugs which I believe they are. So you would need to find a 30-378 , 378 or one of the larger rimmed Wby mags bolt to replace your current bolt. Which brings me to another subject. 9 lugs
I had a chat with a very well known and respected gunsmith who used to post in these forums, about using a Mark V action for a build. He told me he didn't like the Mark V actions because of the 9 lugs, because it was pretty much impossible to get all the lugs lapped so they were all engaging when locked, resulting in an uneven situation. Now this gunsmith used to work for another gunsmith, before he went out on his own. Gunsmith #2 did a 300 RUM (Rem 700) build for me and that thing was a tack driver. .2 MOA @ 427 yards. So it turns out that Mark V actions were GS #2's favorite factory actions to work on. Go figure.
So, options that I can see...
Pick another cartridge like a 300 RUM or 30 Nosler, which is right between the 300 Wby and the RUM
Find a the larger faced bolt, if it would even fit
Buy a custom action
Options 1 and 2 are going to be a lot more complicated (COAL, blue printing, etc) and probably as costly as option 3
Maybe JE Custom will jump in with some wisdom. He knows a whole lot more than I do about the subject