False DUI charge but after completing ARD class out of desperation is it possible to get into HVAC when I’d have to drive?

I've been trying to get into the HVAC/plumbing field for 5+ years now, and finally have a shot of obtaining an apprenticeship with a good company. My lifelong career goal is so close but of course there is a catch. I dealt with a false DUI charge 10 months ago. I took the ARD class since I couldn't afford anymore lawyer fees, have been paying my fine off (almost done) and have my driver’s license. This was my first time "offense", although the cop that night lied about everything. I passed a breathalyzer test and he said that "the breathalyzer broke during testing". I could write a book, but - I have an interview next Wednesday for an apprenticeship program, and in the interview I know they’re going to do a driving background check, and it’s going to come up. Or is it? I'm terrified of being rejected because of this. Question - do I ever have a shot at this field/trade? With plumbing and HVAC, you need to drive places. Will the ARD class completion help at all? I thought it was supposed to expunge all of this, but I've heard different answers from different people. Thank you so much for your time.