I think there will eventually be a "Cavalier mix" breeding programme at some time, but it will be devised by geneticists and use carefully chosen dogs that are thoroughly checked for the health problems in both the parents' breeds.
Breeders that produce mixes are usually not concerned about anything but selling puppies for profit, although there is a UK doodle Club that appears to be doing more than most pedigree breed clubs http://www.ukdoodleclub.org/
Cavaliers......Faith, The Ginger Tank and Woody.
Japanese Chins.... Dandy, Benny, Bridgette and Hana.
Remembered with love......... Tommy Tuppence and Fonzi