Let’s see some new name suggestions for the now Un-Saint-ly New Orleans Saints.
New Orleans Un-Saints
New Orleans Devils
New Orleans Thugs
The Aints.
Taints
The Big Easy Bounty Hunters
The French Quarter Connection.
Yup, Taints.
The Fetts. Think about it.
Sinners.
I see what you did there. 
I third Taints-you’ll probably see that one a lot on various signs and banners next year when they are on the road.
The Got Caught Firsts
Taints by a mile.
(1) They certainly are tainted.
(2) Double meaning appeals to the 12 year old in all of us.
Damn. The 12 year old in me is so strong that I didn’t even consider meaning 1 the first two times it was suggested this thread.
Well, New Orleans Taints it is!
The Hit Men. (It actually is the name of a Junior Hockey team in Calgary.)
Jazz. 
(Footnote: This is my first ever one-word reply on a message board. Like, any message board, about any subject, ever, at all.)
If the point is to avoid being associated with wrongdoing and corruption: Topeka Saints.