Question re: license endorsement and past DUI arrest

Over a year ago I was arrested for DUI. I reported the incident to my state board of nursing and completed the state's diversion program which drops the charges. I had no disciplinary action from the BON. Since I successfully completed the diversion, my understanding is that the arrest will still show on my record, but will say "diversion". There was no conviction. Does anyone have any insight on whether this will delay my getting an endorsement in another state? My understanding is that each state is different and I should submit supporting documentation with my application- explaining the circumstances. I'm just wondering if anyone has personal experience with how this can effect the timeline of receiving a license endorsement as I am looking at travel nursing in Arizona, California and Colorado where getting a temporary license quickly will be important. Any feedback will be appreciated.
Thank you,