https://youtu.be/D6Z8F_S_5b8
This problem does not always occur, but I'm looking for a solution.
I find that most times, if I slightly pull out on the little "tab" in the middle at the bottom of the trough, it will stop. I put some tape around the little... whatever the things are... the trough slides onto, and that helped a bit too.
Put a large enough sponge under it to touch your table and the bottom of the sponge at the same time. Try more water and/or make sure the Tormek is flat against its stand or try large rubber bands around the trough. Rubber between the trough and frame perhaps.
Your first idea is probably the best... I've stuck a hand towel under mine sometimes, if I can't get it to quit. (I've never figured out why it's so intermittent). I tried putting little felt cushions between the trough and frame, it didn't really help, plus the T8 design... it looks like they tried to match the trough to fit against the frame and catch the water, so it kinda defeats that.