they did quite a few acousitc sets.. alot during the 86/87 eras.. songs like Jumpin Jack, Move to the City, Your Crazy, Hearbreak Hotel, were staples of those shows..
The Novemeber Rain version you heard was a demo
during the 93 tour they got back to some Acoustic songs in the middle of the shows.. they included "You aint the first, Paitence, as some of the songs during 93's acoustic portions of the shows...
try to seach
www.gnrontour.com I know there was an all acoustic show in 86 at "The Central"