well, one nice thing you can do - and this works better if you have multiple camera angles, mind you - is splice in footage from elsewhere that wasn't used. for instance, say you have 2 cam sources and you use approximately half the footage from each source... that leavse basically 50% of the footage left on the cutting room floor... so if at all possible, use a show that doesn't have a closeup of the singer (if there are vocals during the missing video portion), or if the missing video portion is during a chorus line that is repeated a minute or two later, patch it in. it really does work well, and when done correctly, no one will know except you... and us.
p.s. the idea of splicing in video of doing a tape flip is GREATNESS. very creative idea there.