If you're just getting it to hunt and occasionally shoot get a good old one.
A crappy old one or one of the crappy new ones isn't going to cut it and get sold off quickly or break and won't have any nuance or cool vibes.
With your budget you can get one of the best "old ones" or something in the middle and still have a lot left for low pressure shells.
Everyone that shoots competition has an over under except for a few outliers that shoot autos and those are almost all Beretta A400s. The old guns aren't as strong as new guns so can't stand up to 5000-10000 rounds a year and and modern versions of SXS aren't designed for that either, they just scratch an itch for someone who doesn't want to mess with an old one or buy special shells for the damascus barrels.
Can concur, I put 4k rounds through my silver eagle and it broke a spring and became a single shot.