In a 308NM which is shorter than 7RM or a 300WM case to the shoulder. I achieved 3400fps with IMR4350, (26" barrel) 165gr Nosler BT, but it proved to be to hot because of temp sensitive powder. Change to H4350, and I am doing 3300fps now. It's not very temp sensitive. A friend had a 300WM getting 3400fps with out problems in a 24" barrel. So what I am driving at, is the case is about the same except bore DI. I am not for sure, but I think with load development you should be able to reach 3300lps with 160grs. The loads I develop were not touching the lands, I don't know in relationship to the lands they are.
I have a 7mmRM rifle, but never used it, and didn't do any load development with it. I was and still shooting 165gr Nosler BT or AB at the 3300fps in my 308NM. The load is Fed-210 primers, 75.grs of H4350, w/165gr BT Nosler or AB. They group@ 1/2": @ 100yds or under. Presently I am using a 338WM w/200gr Nosler BT or AB ,W-760 powder , Fed-210 primers @ 3200fps Rem case, in 24" barrel Ruger Mark 11. It accurate, but can be heat sensitive too. It was develop in the summer time in CaL So as long as the weather is hot it good to go, but in the winter it falls of in velocity. Never determine just how much.
If you are going to try something like that. Work you load up in .5grs at a time. These loads are 5 grs over book. GO SLOWLY AND CHECK EACH FIRED CASE FOR HIGH PRESSURE SIGNS. All my loads in those high powder areas have faltten primers, No creatoring, no ejector marks either. That's in my rifles. I have a 338WM being built with a 28" barrel on it. Someday I get it from the Smith to develop loads for it. I hope I can get away from the W-760 powder and use H, 4350, H4831, or H1000 to achieve the same velocity if possible.
It all goes back to load development, and being that it's doesn't take that much to do the work correctly. So that why I see that 7mm RM has the room to add additional powder in the case, but I think you can get the velocity up in the 7mm.
HOT LOADS AND MAYBE TO HOT FOR SOME RIFLES. GO SLOWLY, AND IN ONLY .5GR INCREASES PER CASE. WATCH YOUR PRIMER FOR SIGNS OF OVER PRESSURE.
hOPEFULLY THIS MAY HELP!