I've had my license suspended for not paying a ticket on time - I just put yes on all the applications for any job that asked. There was always a space to explain what happened.
You're checking no to the DUI/DWI - and checking yes to the suspension and explaining the situation. Yes, a suspension of any kind is part of a "criminal driving history" (i.e. not abiding by the laws) -
I checked yes, and it's been a non-event for any application.