I'd consider looking at the Barnes data for this cartridge/bullet combo:
https://www.barnesbullets.com/wp-content/uploads/2017/10/30-06Springfield.pdfI'd be looking at trying to drive them at 3,300 fps.
748/BL-C(2), 4064, Varget, RL-15, 760/414 would get a look from me. I don't have Big Game or I'd give it a try.
This bullet works well in the .308 Win and I've killed a couple of deer with it in my T/C Contender carbine .30-30 at a MV of 2,500 fps.