Dense, powerful sounding TT, decent top $3500 max?

I'll second Jtimothya and AudioFeil. A Teres easily outplays an HW19 or an Orbe. I suspect a Galibier Serac would too. These will come closer to being worthy of your tonearm, which you've never heard to full advantage due on your present table.

You're seeking solidity and a low resonant signature. High mass, unsuspended tables excel at these things, and the drive belt used by Teres and Galibier provides better speed stability than the stretchy, elastic belts used by most of their competitors. This gets you closer to the pace accuracy of idler wheel and direct drive.

Those other drive modes can be superior to belt drive, but I don't think you'll find one with the black background, solidity and resonance control of a Teres/Galibier for $3500, unless you're willing to tackle a DIY Lenco rebuild. The Loricraft 501 mentioned by Stefanl would do it, but that's about $25K.

For me, the combination of table, tonearm, tonearm cable AND cartridge makes sound sampling a more complex and tougher task than simply injecting into the audio chain any of the other individual components such as preamp, amp or speakers. Relying on information and impressions of others thus becomes an even more important factor in consideration of that leading portion of the phono front end. Thanks very much to all , especially Dougdeacon, because his comments on Teres/Galibier help solidify my own predilections in regard to where I believe I will go.

You might keep an eye out for a used Maplenoll Ariadne Signature which would be in your budget and includes an air bearing linear tracking arm. See My System for pic and description.

Keep your eyes open for a used Micro Seiki RX 5000. Tough to find but worth the wait.