Ok, so, I've stumbled across this useful cast list for a US Tour - clearly dated July 1987, Sacramento, California.
July 1987, apparently, there were *5* concurrent US productions, including Broadway, and the "2nd Tour" which was actually stationary in LA.... But if our production dates are right, US Tours #1, #3 and #4 were ALL running summer 1987? So how on earth do we tell them apart?!
Tho, just found this - specifies 4th tour... December 1988 http://articles.orlandosentinel.com/1988-12-08/entertainment/0090030196_1_broadway-musical-cats-broadway-show-cats-originally And same Munkustrap, Dan McCoy.
So that California site is really useful...
http://www.californiamusicaltheatre.com/events/cats-touring-production-2/ Aug 30, 1988 - Sep 4, 1988
http://www.californiamusicaltheatre.com/events/cats-touring-production-3/ Aug 29, 1989 - Sep 3, 1989