In all honesty, I don't shoot a 300RUM but I do shoot a 300WM, both in a hunting rifle and a target/long range rig.
When I started shooting F-Class with the 300WM, I was using 200gr Accubonds with a 30MoA rail to get me there comfortably. I also tried 208 A-Max. For LR hunting, I run the same bullet as I use for target.
Now I use 215gr Berger Hybrids exclusively in this rifle.
For HUNTING at normal ranges to 600yrds with my hunting rifle, I still use 180gr Accubonds for stalking where shots may run to 400yrds, but if I am hunting farm fringe where shots can run to 600+yrds, I always use 200gr Accubonds, unfortunately, this particular rifle doesn't like any Bergers, have tried most in it to no avail.
I have had some not so great results with the Berger hybrid hunters, not just in 30cal either, I found 2 230gr OTM's that failed to expand and were backwards where they came to rest, just as FMJ bullets always do.
Hope this helps.
Cheers.