Hunting with a Rem 5r?
Honestly I think you need to really take a look at what you want to do with the gun.
A target rifle, and a hunting rifle are 2 different things for a reason! Lugging around a 10 pound rig is not fun and you will feel it after a long day hunting. At the same time long hot days at the range are gonna affect a light barrelled hunting rig more.
First problem is your stainless requirement. It is useless in a target gun if you ask me, and is just gonna add to your budget. I can understand for a hunting rifle, but again you are not gonna be happy with a hunting rifle for long range sessions.
Second issue is optics. The optics you are gonna want on a longer range target rifle are not gonna be the same as you want in a hunting rifle. A giant heavy gun coupled with a giant heavy scope is not gonna be fun to hunt with!
Third issue is that you are gonna find that you will eventually have both so lets focus on that option.
If you can increase your budget just slightly you could have 2 guns that will make you much happier.
Hunting:
- Savage Axis Stainless = $400
- Marlin XS7 = $400 (no stainless though)
** both of these are very accurate and reliable hunting rifles, you wont need to worry about smashing up, or lugging around.
Target:
- Savage BVSS = $750
- Remington SPS Tactical = $700
** For the money its hard to beat what savage is ofering in this category of rifle, and the BVSS is probably the best buy in a strictly target shooting rifle out there, but there are others out there as well.
Another Option:
If you are absolutely set on just getting one rifle I would look at a Savage 10 Precision Carbine, as it still has a heavier barrel but is shorter, and a pound and a half lighter than the 5R. Doesn't come in stainless though, but would be a perfect all around gun IMHO.