I'm surprised that someone didn't mention checking the barrel twist of the 7RM. I believe the standard twist 1:9.25 or so. This will be a determinant in what bullet you will be able to shoot. It seems to me that the sweet spot would be to find a bullet that stabilizes in that twist at around 3000 fps, and then figure out which cartridge pushed that bullet to those speeds, and it's the same case diameter as the 7RM or larger and go with that. Then look at how much you would have to.set the barrel back to get.into fresh rifling, if the case length of the cartridge you choose (28 Nosler as an example) is longer by enough to get you into fresh rifling, then there is no need to set it back.
That's how I would make that decision, if you are convinced you want to use the new barrel.
I would weigh that against the cost of a new Remage barrel from Northland Shooter Supply (~$400) before I settled for anything I wasn't going to love with the old barrel.
Good luck