Setlist.fmReview (by Jay Wood) from unknown paper/magazine included in Introduce Yourself presskit. Gig was "Sunday night", and finishes saying "Faith No More can be seen Saturday night at The World in NYC." - FNM plays The World on 5th April, so it's assumed the CCC gig was played Sunday 30th March. The review also mentions the band was recently thrown out of a venue for being "too vicious" - which MIGHT refer to their Ministry support, though that was Friday 4th April
Lastly, there is a flyer for Faith No More playing CCC on
Saturday 19th April. Did they play twice?
Interview with Roddy in New Jersey Home News (page 2 of On The Go, 2nd October 1992) infers the band played many gigs at Central Student Tavern: "That was our first tour, I think we played 10 gigs there"