First thing I would do is, rotate the wheels (frt to back) and see if the vibes change. Could just be a bad tire.
Take the whees to a (good) tire shop
and get their Ace to balance em for ya.
Try another set of tires/wheels.
If you have eliminated that issue, I'd move on to u-joints, motor mounts (trans mount) etc.
I had wires on mine for a few years. NEVER AGAIN!! Unless I had a car that I was just going to back off a trailer and park at a show. That ship sailed for my car the day it came off the assm line.
Wire wheels look kinda cool - But too many problems. And tubes . . . . No thanks.
1960 Convertible (Orig owner)
Pic of car with my son Justin (15 Y/O 6'1")
Poss 3rd Gen T/B owner