Just an observation about time machines in general, since a Tardis has not been mentioned or considered an option....
Time machines tend to stay 'rooted'; locked into a location, XYZed.
Not to be a 'killjoy', but just braying....;)
It'd be a kick to tack a 'hitchhiker' along, back to Bach....Elton John would be perhaps up to the 'trip', to let the master have a taste of what would become....just to F with the timelines...
But the likelihood of my disappearance would be really annoying...at least to moi'.....y'all would be thrilled, IF you were around to be so....and were aware of such....not likely, but....*shrug*
That's the risk of messing with the past...