A used Browning BAR in .300 Win Mag if you can find one for a really good deal.
In reality it's probably not within your budget due to the current situation, but it's my favorite semi-auto hunting rifle of all time. I have seen them sell for as low as $500 but they generally go for around $900. The nice thing is that even if it's one of the jambers, Browning will go through it for free and make it run like a clock. That's what they did for my pop's rifle.