Good for you for providing the support for your daughter, but I kindly suggest that YOU need the same. The fact that he is unpleasant in the evening is all the more reason for you to find a meeting OUT of the house so you can get at least an hour or so of peaceful time for YOU.
Not only would you be doing something good for yourself, you would be setting a good example of self-care for your daughter.
If you think he would go ballistic knowing where you were going, you could say you are meeting friends (true), or that it is a book discussion group (also true--literature study is a big part of many groups). You need this. Unless you fear he will be physically abusive (in which case you have a whole separate issue to contend with), you may just have to matter-of-factly go and let him sulk or be mad.