Buzzkill moment.
If the Wardens are supposed to be undercover, wouldn't having a dedicated ship/armor set/weapons be telling? Once word starts spreading about the Wardens, if someone sees one of those then they know what they're dealing with. They may not know the name of the organization (or even that there may be an organization, they may think it's one person) but they do instantly know more. Unless each one is different, the same guts but different displays.
Personally, I was thinking about having Audren do his work as a Warden under the guise of a Jedi. Gives him reason for potentially being known, using what weapons and tactics he does, as well as reason for being where he shows up.