You can usually find a 20 cubic foot Browning Limited safe for around that price range. I believe it's a special make-up safe that isn't in the catalog but worth checking out. I'd get one of those over the Winchester safes.
When deciding on a safe there are a few things to consider:
1- How much is your firearm collection worth? (if it's quite a lot either monetary or sentimental or both maybe you should spend the extra cash for higher reputation and security/fire ratings/features)
2- The size (you may want to buy a bit bigger than you think you need for the future)
3- Location, Location, Location (I highly recommend hiding your safe from plain sight and anchoring it to the floor if possible. Also try and keep the sides and back as inaccessible as possible as these are the weakest parts of your safe, the front is the strongest.)
With that said your average Smash-and-grab criminal doesn't normally plan on encountering a large safe and will most likely leave it be. Most safe mfg's will tell you if it will make too much noise (if the home is close to other homes/buildings) or if it will take too long the criminal will forget trying to break into the safe.
Few more tips from people whom I've met:
-Do NOT park your safe in your shop/garage next to your plasma cutter
-Please strongly consider anchoring your safe. There was one instance where the bad guys obviously knew the owner (who lived in the country with no close neighbors) was going to be gone awhile and tipped the safe over and shot the back of it out with a shotgun and was able to make a hole large enough to reach in and pull items out.