I would tell which ever ATC service that I was talking to what my intentions were, an eta of where I was going and when I would next be in contact and on which frequency. Then the master switch would be turned off until I got to where I told them I would contact them again. Which would be about 15mins out from the field I intended to land at.
What I would also try to do, if flying to a controlled field, is secure a clearance all the way into the circuit, preferably via a route or altitude that's otherwise unused, and agree with ATC that if by then my radio has indeed failed, I would hold on downwind waiting for light signals.
My home base is a controlled field so I would like to arrive there, if only because that's where the engineer and my car are going to be. Instead of an uncontrolled field 60 kilometers away that accepts non-radio aircraft.