Well PP I think it sounds like it would be fine I would just maybe think about a few things-

1. Could DH stay close to home/the hospital just in case

2. Could he come home to sleep so there's no chance of him sleeping through a phone call

3.Could he space his drinks so that he is always able to drive in case you need him to come get you to go to the hosp.

Hope your DH has a fun night and it all works out, I'm sure it will!