Savage has a lot of good features, including the best factory barrels,button-rifled) in current production. It's tempting for the price.
However, having owned both, I think you'd be better off with a Remington 700. In my opinion, you will NEVER get the trigger and the lock time on a Savage to be anywhere near as good as a Remington.
A good trigger is VERY important to good marksmanship. The Remington factory trigger is good,after your gunsmith has adjusted it for $50), and the after-market triggers are numerous and outstanding,Jewell HVR for $225 is the BEST).
Remington 700 is the industry standard in tactical bolt actions and also for entry-level benchrest. Everybody knows how to work on them and there are TONS of after-market parts. This is a platform that will give you lots of room to grow as your skills and budget develop.
A PSS or Varmint Synthetic might cost $150 more to begin with, but will be well worth it in the long run. After adjusting the trigger and fire-lapping the factory barrel,using Tubb's Final Finish kit), I've been able to get half-MOA performance out of 2 stock Varmint Synthetics and a Sendero,.223, .308, and .300 UltraMag).
Biggest problem with Remington is that they don't put enough twist in their barrels. This can limit your ability to shoot heavy match bullets. Advantage Savage!
Buying a used gun is not a bad plan. Look for a target shooter who has upgraded and wants to sell his old gun.,However, $500 is pretty tight for this plan.)
One final thought: If you're going to handload, there is no reason to limit yourself to .308. It's a well-balanced cartridge that's easy to load for, but it really starts to fade beyond 600 yards. 7-08, .260, or .243 are all ballistically superior,when loaded with heavy match-type bullets) and have less recoil. In fact, a .243 shooting 115 gr DTACs will have only 60% of the wind drift AND 60% of the recoil of a .308 shooting 175 gr Sierras. That's a BIG advantage in both departments, especially for a beginner. The most compelling reason to go with .308 is if you don't handload and need to shoot factory ammo,Federal or Black Hills).
OK, that's my 2 cents worth. Good luck and welcome to the game!
"Lefty"