Would you let him take your car?

Okay y’all my boyfriend (probably not for long) gets his 9 year old today for 6 hours and his car is broken. So he needs to pick him up in my car which I don’t care because he’s picking him up a minute from my house but his ex said he needs to drop him off at his grandmothers which is 45-50 minutes away. My boyfriend is an alcoholic so he drinks all day and I don’t think he should be driving that far with his kid and my car. He also has no insurance. I can’t go with because it’s -11 here right now and I have a 5 month old I will not take outside. What should I do ladies?

Edit*** he has never been alone with our child. I would never ever allow that. His ex will not talk to me and tries to get his son to say mean hurtful things to me. She doesn’t care what he does during his time with him