Savage 12LRP in 6.5 Creedmoor.
I agree, but I also think that none of the really good choices for LR target shooting are going to work very well for you as brush rifles. I seriously believe you are going to need two rifles, one that optimized for each of the really every dissimilar applications you intend.
I would back up the 12LRP with a Savage 10 Predator Hunter Max 1 in the same chambering. It weighs around 8lb, and is really a bit heavy for brush work, but I think it will deliver what you want in performance, and the Savage choices are rather limited in 6.5CM chamberings.
Mine is chambered in .260 Rem, and could probably do both applications in a pinch, but I still think it's a bit heavy for a long day in the woods, and the barrel may be a bit light for sustained shooting. These last comments may serve to explain why I would prefer something that is not a compromise.
If you are willing to go with a different chambering for the hunter, you can save a pound or two and probably a few hundred smackers by going with the Savage Axis XP chambered for 7mm-08.
While some my naysay the Savage Axis as a cheap rifle (which it clearly is), it is probably a fairly good choice as a hunting-only brush rifle.
I have a fairly simple approach to hunting rifles. They should be factory rifles, using factory ammo, and the current crop of industry basic hunters are probably both economical and quite well suited to their intended tasks.
Usually the deer can't tell what it was you were using to hit them with just then. If you're a bad shot, the best rifle won't help you; and if you're a good one, you can get the round ontarget with a vast array of choices, including the economical ones.
Greg