What are you going to hunt with it? Either will handle anything in North America with the proper bullet. One thing to consider is weight if you're going to be climbing mountains. For that reason, I'd prefer the '06. The difference is about a pound with similar rifles but a pound can be major weight after an all day jaunt searching for elk. The '06 has a two inch shorter barrel (usually) and the action isn't as beefed up as it would be for a belted magnum like the 7mm. The 7mm shoots a tad flatter, but it's subjective in my opinion. The '06 with 150 or 165 grain bullets shoots plenty flat.

Now, for the rifle, look at the Howa 1500. It's cheaper than the Remington ADL and is really one fine rifle. You can get a blued/synthetic for around $345.00 and a stainless/synthetic for around 399.00.