This is a question that's really impossible for anyone but you to answer. My suggestion would be to go out and at least handle several different brands/types of rifles. If possible, shoot them. You'll start to get a feel for what you like and don't like. Most of the popular brands have rifles that are fully capable of doing what you want to do with them. The smaller cosmetic and function details are what will make/break it for you, personally. The 5r has a good reputation and will probably serve you well. The advantage to going Remington is that it has the most aftermarket support and you can find just about anything you could ever want for it, growing on a tree at any street corner. Also, most smiths are familiar with them. Rifles from Savage and Howa are usually considered among the "best bang for the buck" category and many will swear that they're more accurate out of the box than a Remington. That's debatable, but I am a Savage fan. The down-side is that there isn't quite the aftermarket support for those brands as there is for Remington (but Savage is getting close). Another advantage to Savage is that it's easier to change barrels on your own and they're less likely to need truing, as they have a floating bolt head. I'm also a big fan of Tikka. They have one of the smoothest/fastest actions ever and are usually tack drivers. The down sides are that they don't have nearly the aftermarket support as the others (but it's getting better) and the most desirable calibers/configurations are no longer imported here. So, getting exactly what you want in a Tikka could end up being a longer, more expensive project than with some of the others.
Depending on the condition and work that's been done to the 5r, as well as the price, you probably won't go wrong there. But, like I said, do some research and handle one if you can, before making the deal.
John