Does twisting the volume pot or balance pot (violently) make the channel come back?
If so, chances are they are just dirty. If you aren't comfortable working on an amp, a local service tech should be able to clean them for you for minimal dollars ($50 or so). If you are comfortable, get some 'tuner cleaner' from Radio Shack and clean the pots yourself.
If twisting the pots doesn't do it, better take it to a tech so they can check it out. It could be a number of things causing the channel to drop out.
One other thing, as I reread your post you mention that you have an NAD AMP. I assume you are using this with a separate pre. If your source is a CD, turntable (or anything other than the tuner), the problem may be with either the source or maybe even a bad interconnect. Try swapping interconnect cables between the two channels and see if the problem follows.