Most gently used Stern pros can be found for $5k, if you can up your budget a tad. Many should be possible at $4500, especially if you are open to ones that were routed or have a few more miles on them. Star Trek pro has been mentioned multiple times here, and I can't argue with that. That said, I would try to play as many games as you can (more difficult due to current events), or at minimum watch a bunch of streams and see what type of games appeal to you. If you can narrow it down to a few titles that interest you, you can watch for them specifically and we can help suggest similar games.

There are a lot of good possibilities in your price range. My biggest suggestion is not to rush to buy the first thing you find available. Make sure it's a game you will enjoy, at least for awhile. And if you buy smart, you should have no problem reselling it down the road without losing much (if any).

DE JP is probably my favorite game in the $3k range (though JD and DM are good contenders...man it wasn't that long ago that this was a $1500 discussion). $3800 is a little steep...it should be very, very nice for that much and should have the topper. Many will argue that B/W is WAY better than DE. Bah. I've had many B/W games come and go, and JP is still here. Yes, there is a quality difference, but it's overblown in my opinion. I can't think of another game, B/W or not, that I'd rather have for $3k. But if you go up much from there, and start getting into newer Stern territory, then yes...many of those outshine DE JP.