Hmmmm well best to start with, what type of hunting are you doing? Are you planning to stalk or sit on a stand? Is it heavy brush where the average shot is under 100yds, or are there often shots that test distance? These are really important questions to ask yourself before purchasing a rifle.
If you're stalking in an area where the average shot is under a 100yds, often in brush, you may want a lever action with iron sights. The iron sights are faster at lining up for a target and the lever action gives you a very fast followup. Since you're also considering elk, I'd think more towards a slightly heavier load. Marlin makes lever actions in 45/70 as well as a 308Win. Brownings BLR stores the ammunition differently, and thus allows use of more standard ammunition, such as the 30-06. A good slug gun can be used here as well [if you use buckshot, check state regulations. Some states are banning its use now.]
If you're stand hunting, I'd tend to lean towards a bolt action rifle. The choices of calibers vary quite a bit, and once again, since you're thinking elk I'd refer to the many debate threads over the caliber of choice. There are also many, many different rifles made. Best suggestion is do your homework, check fitting of the various rifles, research out the ones you like the best, and make your choice. The Remmy 700 is very popular, but by no means is it the perfect rifle for everyone.
As a side note, in situations on a stand where you still expect under 100yds, a rifled barrel shotgun, with scope, and sabot slugs is very effective as well.
Good luck in making your choice.