Let's see...
I'd go with KyokushinkaiShipping. Kyokushinkai is a form of karate created by Mas Oyama, a Karate Expert Sawk is based off.
BornToFightShipping can work as well, since Sawk has neither evolutions or pre-evolutions, meaning it was born to fight.
Oooh, I like those two.
I'd rather go for BornToFightShipping, since Mienshao is meant to do Kung Fu, according to a volume of some official Japanese magazine. Yet again, Mienshao has a pre-evolution, so KyokushinkaiShipping could work out fine too.