You will be a very short ride from St Andrews, which is worth a visit if you haven’t been. Obviously there is the R&A Golf Club and also a stunning beach and lots of independent shops and places to eat. The road around the East Neuk is worth a drive as far as Anstruther then you can shoot straight across inland back to St Andrews. There is a decent restaurant called The Waterfront in Anstruther. It is part of a hotel where I have stayed many times when working up there.
I wouldn’t bother with the coast North of Dundee as it is a bit sh1te!