Other than checking the grounding, you may have an isolation issue as well. If your direct drive is via the pin to platter (plinth) method, then check the motor isolation, bushings & springs. If the platter (plinth) acts as the rotor itself (i.e Technics models from the SP-10 up...) you will experience this far less thump/vibration (and explains why DJ's love Technics) than you would with a motor/rotor combo. Any type of disturbance or vibration can cause feedback noise through a turntable. The easiest solution is to place it on a concrete block with spiked feet.
(You can also get better isolating feet than what the factory offers for the housing.)
What you can check also is that your needle and cartridge are firmly locked in and aligned properly. As you know, a records grooves does not consist of perfectly smooth valleys and if out of alignment or loose, rumble and feedback are more likely.
But as we are mere mortals, we use ordinary racks which aren't vibration isolated.