Either rifle is fine...my preferences run to the 700 CDL because of my favorable experiences with Remington. For CDL money, however, you might want to look at the Savage 116 Weather Warrior with AccuTrigger, AccuStock and built in muzzle brake (analogous to the Browning Boss system), particularly if you are dead set on magnums. The Savage 116 is actually about $100 cheaper than the Rem and likely to be more accurate.
Having said that, why do you feel you need a 7mm Ultramag or .300 Ultramag? For white tail, with the majority of specimens coming in under 200 lbs, it's more than a little overkill. For elk, a .308 Win or .30-06 Sfld is more than adequate if you do your part on hitting vitals. A number of my hard-core elk-hunting friends feel quite well-armed with a .30-06 and appropriate 180-220gr bullets (the choice bullet being a bit more important than the choice of caliber).
I have shot all the above rifles and all of the above calibers and have been shooting for a bit more than 50 years. I find the Ultramags in full-house loads unpleasant in the extreme, more so than the .375 H&H. If you are not an experienced shooter, you won't shoot those cartridges enough to sight in your rifle, much less practice, so your likelihood of hunting success will be as low as your enjoyment of shooting them. Disregard the mag scribes who will tell you you can't kill much of anything above a groundhog with anything less than a .300 Win Mag, not to mention a Rem Ultramag...shooting is fun for its own sake and you won't do much of it with a gun that boots you silly on each shot.
All of the above should be taken with a grain of salt at the least, and a whole bag of salt if you're going to rough it in Alaska. In the latter event, I'd be using a .375 Ruger or .375 H&H (a Ruger Hawkeye in .375 R is much more affordable than a rifle chambered for the H&H), but not for the deer, caribou or moose, but for the brown bears who might view your incursion into their home with disdain.
All the above IMHO, but I kinda doubt YMMV.
FH