Hello Steve,
I, and a few others, use a Cornet with a Teres Turntable.
My Teres 255

May be a bit more than you wish to spend, but Chris offers the 100 series as well The 150
Link to Teres 150 has to have the base finished, but that should be no problem for someone who has built a Cornet

The Teres turntables all seem to have in common a very deep, tight low end and a VERY musical approach to vinyl. The more hardwood that is used, the more musical the sound becomes.
You could couple the TT to a Shelter 501 MK II with a modded Rega arm, like I did. There are many combinations of arm and cartridge you can explore and the Teres base and Cornet will be an excellent compliment to just about any combo.
Good luck in your search.
If you plan on attending the Rocky Mountain Audio Fest, I will be using my Teres with a Hagerman Cornet and Clarinet line stage. Mr Hagerman will be at RMAF as well.