I give away CDs to customer/fans when I feel it's appropriate. Seems to always generate good will, and most often tip$. I know some of them copy and share them, but that is pretty flattering if they do. They make good memories for the tourists and good feelings for the regulars.
Years ago when I did recordings, usually cassettes, for marketing purposes, I would only do parts of songs, beginning and part of verse and part of chorus and fade out. If they wanted to hear the whole show they could hire me.
I would advise not giving a full-blown DVD to a NH or AL. It could cost you a live booking.
Even though most of them are owned by huge, successful corporations, the Activity Directors are usually on a very small budget and are always looking to cut costs.