You're in Intersurplus territory there though you may find something in the EE. Remember, you'll also have to scope this new rifle so unless you get lucky and find pone that already wears glass you have to figure that into the equation too. My opinion? Save a few hundred more and you can get a very usable, but not collectable, Pre64 Model 70. Do not buy into the horse#### that some people will tell you...the Post64 Model 70 has no class and should not even be called a Model 70. Yes, they generally shoot well. No, I don't care. They're an abomination and the person responsible for that stroke of incompetence should have had his sack slit and his foot put through it along with anyone who attempts to make the case that Pre and Post should even be discussed in the same postal code.
The Classic Model 70 would be a great second choice but they will be a bit over your price range. A tang Safety Ruger M77 might be available at the top end of your budget, but again, you'll be getting a user with some bumps and dings. A Browning High Power (FN Mauser 98) will set you back more than your budget as well but definitely worth looking out for, likewise the Sako High Power M98 would be an outstanding classic. You could also look for an AIII Sako or an 80's Remington Model 700 BDL or, if you can find it, a Custom Shop rifle.
Honestly, you can cruise the local used gun racks or gun shows, but nothing has a wider reach than the EE. I have been on this forum for over 20 years and have bought and sold guns from all over hell's half acre.