In the $2 to $3K range there are many options, so its best to sort a few things out. New or used, and if used how far back are you willing to go? There is the inevitable question of drive type, belt, idler, and direct drive. Is this a turnkey solution, or are you willing to assemble a bit?
I have owned all three drive types, and if you are going direct drive I have found the Technics SP10 MK II or a Denon DP 75 or 80 as options in that price point or lower. Much of it depends on the plinth it comes with and the arm, and whether the drive unit has been restored or not. A DP80 is a fantastic table. There are some very nice custom build plinths too if you locate just a drive unit only. But there are turnkey offerings also.
If going idler $2K might be a bit low, especially if the table is restored and in a custom plinth. However if you can get a drive unit such as a TD124 or Garrard 401 then you could hit budget. There is a plinth builder on Ebay from Moldova who is affordable and produces solid plinths. You just have your wait time. Idlers are unique in their sonic presentation, and many folks love them.
Finally for belt drives, you have to decide if you want suspended or non suspended designs. I own both high mass/unsuspended and suspended tables. I could live happily with either one as my only table, so I am not going to give the nod to one type or the other. In concept I like suspended better.
If I was in this price range, this is what I would look hard at. Yes its a bit over budget I think, but an excellent value.
Basis 2001 Signature turntable with Vector 4 tonearm and dust cover For Sale - US Audio Mart