There are no such things as "DUI cycles" in AZ. Someone who has lost their license because of a DUI is not even allowed to ride a motorized pedal bicycle, which does not require a drivers license, registration, or insurance here. But ANY type of motor vehicle is off limits to someone with a DUI and no license.
2002 Vulcan 750 (now being slowly reassembled) 2013 Royal Enfield B5
2001 XT225, 2009 Genuine Stella
1980 Puch moped