Unfortunately, there already was a band called "Rule 62" in the 90's, they had signed on Maverick Records but they don't exist anymore:
Albums by Rule 62 - Rate Your Music
Rusty Zipper is also taken
I would have suggested "The 12-bars" since your music has blues elements, but there is already a band called "the twelve bar blues band"
Hmmm....Difficult one. Maybe something inspired by the lyrics of a song all of you like?