My personal rifle is a Savage 110 in 7RM pushing 162gr Amax about 3100fps. Yep, except for bedding, a muzzle brake and trigger work, it's factory. It has the accuracy and power for me to hunt as far as my Leica 800 can range.
The big issue with LR hunting is your ability to shoot well enough to be effective. Getting/making/tuning a rifle to be accurate and powerful enough to do the job is a no brainer these days. Having the skills and discipline to make the shot is a whole different story.
Be realistic on your budget. If you can't afford the excellent quality rangefinders, scopes, spotting/glassing optics, reloading, and a ton of practise, I would suggest against this journey.
However, if you are willing to do what needs to be done, LR shooting and hunting can be very rewarding.
www.longrangehunting.com and Dan Lilja's site will have lots of info you need to make an informed decision.
As a basic rule, I limit my range to whatever I can hit a milk jug 100% of the time from a cold barrel on any given day. One shot, no sighters. On a dead calm day, that can be a very long ways out. On your average windy hunting day and/or from field positions, its a whole lot closer.
Even those that make LR hunting their thing, not too many actually get a chance to connect that far out.
Jerry
PS if you are serious about getting a rifle, I might just have what you are looking for. PM me.