Do those who are familiar with the story think it could be re-worked as a story for the Eleventh (or even Twelfth!) Doctor?
There's nothing about "Shada" that is fourth Doctor-specific. That's why it was able to be reworked so easily into an eighth Doctor story for Big Finish.
"Shada" could work in a post-Time War setting, sure. Make Professor Chronotis a Time Lord who went to ground during the Time War.