After looking over the various words to describe our characters, I decided that the character of the Spartan Ambassador would be "wringing" - indirect and slow, due to his lack of intelligence and insatiable desire for posterior sensuality, but strong, because of his position of authority.
While defining these characters will be easier due to the cartoonish level of caricaturization, it almost feels limiting to subtlety and nuance. However there isn't very much of that in such a blanant comedy as Lysistrata.