I'm surprised he'd ok slower coasters but not ToT. Tot only has the g-forces which don't seem that bad to me but it is super smooth.
MMRR has that scene in Daisy's room where the ride car moves side to side very vigorously - I think you want to ask for the last train car which exits that room first in my experience. At least it is less shaking but won't prevent it.
You had originally mentioned rides with G's like roller coasters. If he hasn't ok'd Big Thunder M. or test track (two of the tamer rides really), I wouldn't try any of the coasters. GotG, Tron, Everest, Space Mountain, are all more vigorous. 7Dwarves is like a shorter version of BTMRR.
I think it's a really difficult spot the doctor has left you in trying to figure it out. I think everyone is going to advise being cautious because we don't want to mislead you. I don't see a clear guideline in what your doctor has advised with the rides he said not to do....I think it rules out many rides.