What I get from your list is that you really want/need to keep Fridays or Saturdays half-open and I can understand that. Are you able to meet every second Friday evening and every second Monday evening? This would equal once a week and would still leave your Fridays half-open.
No, I don't think I can after taking a hard look over the last two days at what my summer is going to be like, and how much one person can really handle. Two nights out of a month, with an occasional 3rd is all I am able to commit. I will modify my post to say so.