I think overall the model 70s are nice enough. Lots of folks jumped on the latest CRF offering. I know of a couple of people that quickly moved on to something else and read several threads on line, both here and other forums, where people were not impressed with accuracy. It didn't look like they were horrible but just not up to what one would expect from a modern firearm.
Where and what you are hunting would be the largest factors in determining a rifle.
I hunt the foot hills of Alberta and a light weight accurate rifle in minimum of 30-06 is my choice. I hunt with a Sako 85 in 30-06 mainly. Lots of nasty critters and the real possibility of running in to an elk makes the 30-06 a good choice. I would be just as happy with a 300 Win Mag.
East of here on the open prairie I would hunt with a 7mm Rem Mag. Mine is an older Finnbear but anything accurate with a little weight would be fine. I would be equally happy with a nice Rem model 700 with a little tweaking and a nice trigger. If I couldn't find a 7mm Rem I liked, I would go with a 270 Win. And again, an accurate 300 Win Mag is never the wrong answer.
When I did a lot of bush hunting further east, I hunted with a Parker Hale deluxe with factory re-barrel in 303 British. My dad, a couple of his buddies and myself sometimes used the 760-7600 usually in 30-06. Lots at the camps used 30-30 94s and 336s. We all claimed ours were the best bush guns and we all killed a ton of game to back it up.
Having said all that, my absolute favorite wood stocked rifle is a custom build in 7x57. The 7x57 does everything very well except for big bears. This particular rifle is light and fast for long hikes and bush but is plenty accurate beyond my capabilities in open country. Unfortunately, $2500 isn't going to get much custom work done these days. You might find a nice one used. I have no problem finding enough ammo and have lots in stock.
I was at a local gun store over the winter and they had a Tikka in 300 Win. It is done up as a copy of a Sako Grey Wolf. If I were going one and done within your budget I would look no further. I know it is not walnut but it was a sharp looking rifle.