One reason to go Savage is that if price is a factor for you, you can do the build yourself with a $60 in tools versus paying a smith to assemble the action/barrel for you, aka Remington.
Off-the-shelf, the Remington Sendero is excellent. In a 300 magnum it is a 900 yd gun. Nothing wrong with a higher end Savage on that too. Remember that with the quality solid components and heavy barrels on these guns comes a price, they are relatively heavy. I carry my Sendero in the mountains but most of the guys I hunt with would not try it.
IMHO the RUM doesn't gain you a lot for the recoil unless you really need to reach 1000 yds on elk. I'm comfortable with 300WM/WSM but I think I'd have to brake a RUM to enjoy it and I don't enjoy anything with a brake, and if you add one that's additional cost. That's a lot of headache for an extra 100 yds or so. If I was going to go as far as braking a rifle I'd get a 338 and be done with it.
If you buy a Savage with the intention of building your own, remember that the WSM cartridges use a larger barrel shank than the other rounds!! While the bolt face is easy to change, if you buy a small shank action you won't be able to convert it to WSM.