Motor Vehicle OCD....afraid husband caused an accident

About 14 yrs ago my husband got an OUI.He doesn't drink a lot, but when he does,he gets buzzed quick.Sometimes I think he drives when he shouldn't.It is a BIG problem in our relationship.
We have been going to counseling, and he has started to realize he needs to be more responsible.
He is away on business.Last night he told me he was going to the hotel bar. We were talking, then his phone went off. No messages were being delivered so I knew it was his battery.
After a few hours, I got nervous and called the hotel bar. They said he wasn't there.
A few hours later he called me. He said he had fallen asleep and didn't charge his phone. I told him the bar said he wasn't there, he said maybe he had already gone upstairs or maybe he was in the bathroom. He said he was exhausted from traveling and working and as soon as his head hit the pillow he went to sleep. He told me he had some beers at dinner.

I am now PARANOID that maybe he actually took out his rental car and went out and was driving after a few. I looked at the police log and there are a few accidents or hit and runs. It says hit and run, no injury. I don't know what to do.

He SWEARS to me that he was at the hotel and didn't leave or drive the car. He returned it this morning. However, it was under his bosses name (he had an emergency so my husband brought it back). He also took a video of the car to prove it to be, and it doesn't look like there are any noticeable scratches or dings.

What do I do? It was a big city he was in with many counties. Should I be calling and asking if his vehicle was suspected in anything? Or seeing if a vehicle like his is being watched for?

Or, do I need to let this go and start trusting my husband.

I have OCD and a LOT of issues around thinking we have caused harm or hurt people. I do have trust issues with him but he has been better. I am very controlling, so I look at every situation with a fine fine lens. I trust no one.

Am I overreacting?