Since Sunfish Jones outranges all Normal/Special Cat Units, and has a 30% chance to slow any cats hit with his attacks, the best way to win this is using tanky short ranged Cats and luck. Both types of Titan Cat are useful because they can survive multiple hits.
Ramen cat will help a lot, as it takes only 1/4 damage from Angels and is quite tanky for its cost.
An alternative would be to use a well timed suicide bomber such as Awakened bahamut or Kalisa .
Method: Fill up your wallet and bring Sunfish Jones out of the base. Spam everything in line up 2 until sunfish dies. If you run out of cash stop spamming everything except for Ramen Cat until you can start spamming again. After that kill the base and you're outta there!