Hmmm...going to a bar with your single gf. Not sure if that would leave your H unsettled or not. For the future, if you didn't find out how he felt, it may be a good idea.
After an affair has been exposed to a household and healing has started, a trip to a singles bar, innocent or otherwise could potentially set the two of you back quite a bit...just be careful on that one. If your H is ok with it then that's fine, but if I were him then I would be a bit anxious about that.