BUM, you would likely have more success with headspacing using a belted magnum case or a modified Rigby. All of which have already been done.
Even when fully improved, the RUM case will not leave a lot of shoulder for this cal. Not sure how little shoulder you actually need to headspace properly.
Also, bullet selection is pretty low considering the issues with the BMG. Unless you plan on using cast bullets.
Don't laugh, a hard cast with gas check can go 2200fps quite easily which is close to the case capacity max. You can get some real heavy bullets now. 500/550 gr are easy. You might be able to dig up a 600 to 650gr too. Custom molds will make this a snap.
How about a cast 650gr spitzer w/gas check bumbling along at 2100fps? A 300wby case blown out to a straight taper would work great (well maybe not enough width, the 378 wby case would).
Jerry