Does he not pay anything? If not, take him to court for child support and get all things I mentioned in the parenting plan. You will have to find a way for someone else to take care of your child that is not under the influence.
Is there anyone at school you could talk to about this that may offer to have your child after school and days off? I know when I was going through a hard time I had people offer however I did not hide that I don't trust gool ol dad to not be drinking. Most people will step up to keep a child safe.