Tires would be the first quick thing to check.
(After some mountain driving, the belts shifted on both rear tires of my NSX and I was actually showing some belt. The whole way home bad vibration occured when trying to cruise at normal highway speeds of 80ish mph. After figuring out my issue, I was driving at 65, then 60, then 55, etc. to minimize vibration and finally made it home, lol.)
This doesn't exactly match your issues since your vibration occurs on acceleration, but it doesn't discount the possibility of a random bulge on the tread section of one your tires (which would definitely throw things out of wack).
And then definitely check axles and wheel bearings.
(I was having serious vibration issues in my Civic on hard acceleration after installing new axles and they went away after swapping out axles. Turns out one of the Advance Auto Parts axles I bought was about an inch too short compared to stock, but would still bolt up. So I think the vibration was being caused by the axle being over-extended/stretched between the transmission and the knuckle/hub. Exchanged the axle making sure the new one was longer and problem solved.)
That being said your issue probably is not in the axle since you haven't recently changed axles. Which would lean towards the wheel bearing having gone bad. But then again you checked and found no play. Were you checking for wheel bearing play or that the wheels were mounted correctly?
Good luck with it Ron. Let us know what you find out.
