Over the last five or seven years I have done a bit of turntable exploring. I have had large non suspended designs like the Teres, with the last one being a Galibier Serac. Of course that table was $3300 for just the base, with no arm, so its sort of hard to fit under this price cap. But I have had the Thorens TD 124 and the Garrard 401, which also bump up against the cap when you figure out all the restoration costs, and accessories needed to trim it out. Of course the arm becomes an issue, as these days its easy to drop a kilobuck or two into them, and this discussion does not say if an arm is included in this cost or not.
My pound for pound champion is still a Marc Morin modified AR XA, although it does create a challenge in terms of cartridge set up when using ones with line contact styli. Other great bang for the buck turntables include various belt drives, as their faults tend to be very benign when compared to direct drives that are built to a cost. So the AR, Systemdeck, Ariston, Thorens, VPI 19 series, and Sonegraphe type tables would be my choice for the less expensive versions.
The last couple of years I have spent playing with direct drive tables offered as drive only units. I find that the SP 10 MK II and the Denon DP 75 are excellent tables that are capable of high performance sound quality if used with quality plinths, just like the top tier idler drive tables are. The price on the SP 10 MK II continues to climb, and its getting harder to find clean versions of it. While the DP 75 is still relatively affordable, and one of the better buys on the used market now. Sound wise I don't think there is any significant difference between the two tables, as they contribute very little to the overall sound of an analog rig, and the tone arm and cartridge are far more influential. I like the aesthetics, functionality, and build quality of the SP 10 MK II over the DP 75, so its my choice. However the DP 75 offers the best value in the current market. With a 4K budget, there is a lot of money left to pay for a high quality custom built plinth from someone like Larry Spence, and a great arm like an Audiomods, SME M2-9, and the Wand. If you go to the used market a whole bunch of choices, which might even include a Graham, SME IV, or a Technics EPA100.
Regards
Mister Pig