yeah... if you just want to chuck new parts at it, I'd be looking at the regulator... probably the 5V digital supply regulator seeing as the whole unit just dies.
but also, look into the main bridge rectifier, and the bulk caps after that. could be something funny going on there, too.
that will probably fix the problem.
but really - the SDE-3000 is a very nice delay unit, and totally worth having working in your studio - so definitely worth taking it to a tech and getting it sorted out properly!