“In queso emergency, go to your nearest TexMex restaurant” is a jocular saying that was cited on Twitter on November 20, 2012. “I always keep a Mexican restaurant on speed dial in queso emergency” was cited in print on September 8, 2014. There have been several variations.
     
“In queso emergency, I pray to Cheesus” is a similar saying.
 
 
Google Books
Dictionary of Americanisms, Briticisms, Canadianisms and Australianisms
By V. S. Matyushenkov
Xlibris Corporation (Xlibris.com)
2010
Pg. ?;
On the marquee of a Mexican restaurant in San Antonio: “In queso emergency, open 24 hours!” – Reader’s Digest
 
Twitter
Carlos-esque
‏@carlosesque
In queso emergency,  stop at Kerbey! (@ Kerbey Lane Cafe w/ 2 others) http://4sq.com/1vZ4rZ
11:52 AM - 26 Jun 2010
     
Twitter
Texas Humor
‏@TexasHumor
In queso emergency, go to your nearest TexMex restaurant.
1:43 PM - 20 Nov 2012
 
Twitter
April Hunter
‏@AprilHunter
Sign on Mexican restaurant marquee: “Open 24 hours in queso emergency.”
4:00 PM - 24 Nov 2012
 
Twitter
Edward Koelzer
‏@EdwardPhilipK
I have Taco Bell on speed dial. In queso emergency.
10:36 AM - 4 Aug 2013
 
Twitter
Floyd
‏@Floyd_On_Funny
Jamie Oliver always keeps a Spanish resturant on speed dial in ‘queso’ emergency.
3:17 AM - 1 Oct 2013
 
Funny Status
I always keep a Mexican restaurant on speed dial in queso emergency.
September 8, 2014
 
Facebook
Way Way
September 9, 2014 ·
I always keep a Mexican restaurant on speed dial in queso emergency
 
Twitter
Bill Murray
‏@BiIIMurray
I always keep a Mexican restaurant on speed dial in queso emergency.
2:24 PM - 18 Sep 2014