Apart from the above good advice and in case all the other suggestions come to nothing, I have a theory that might be relevant.
I once had a senior moment in my 80 Series, and set off with my handbrake partially on, by a few clicks out of 10 or whatever, but it felt the whole truck was shaking. I’d never felt anything like it, but when I realized the handbrake was on slightly, and released it, the drive went smooth again no problems.
Now my 80 is a bit unique because it’s not UK or Australia spec, so it doesn’t have rear disc brakes. It has old fashioned drum brakes operated by both the foot brake and the handbrake.
Recently I had it serviced and my special instructions were “fix the bloody handbrake” because it not working well was driving me crazy.
Anyway they took me at my word and it worked better than ever before. But, after collecting it, I had this horrible vibration over about 60kph. I recognosed it straight away and guessed they’d been a bit over enthusiastic when adjusting the rear shoes.
If you’ve just had new rear handbrake shoes fitted, I’ll wager my money on them needing to bed in more. I would just drive it and hope the problem clears. You might want to try applying a few clicks of the handbrake as you drive, to speed up the bedding in process. I guess you’ll feel whether there’s a connection between the handbrake and your problem when you apply a bit of handbrake.
I’m interested in this and how or what you eventually find was the problem.
TBH, the vibes I got with the handbrake partially on were nothing like what I thought it would feel like, it was dramatic and could have been anything from loose wheels, play in the drive-line UJs, worn steering joints or anything. The whole truck was shaking at over 60kph, but nothing when going slower.
Good luck