I have a 2005 Toyota Camry, SE V6. It has a 5speed auto.I've got 55K on the odo. Tires are maybe 4 or 5/32.
I have a bad shake at all speeds, but only under load. Any throttle input gets a nasty shake/vibration. If you are coasting down a hill in N, the shake isn't there.
It's only under load. It feels like a way out of balance tire/bent rim. But wouldn't that give me a shake regardless of throttle input?