I'd say figure out what is it that you want and then communicate that to him.
When I read your first post, my gut reaction was that what was frustrating or confusing you most was the lack of communication inbetween your dates with him and to a lesser extent interaction with his "world" i.e. friends/family. This seemed reinforced since you said one of your LL's was time spent together.
However in your last post, you said that spending copius amounts of time together and constant communication would drive you nuts. So that has left me a little bit confused as to what are you looking for or wanting. Is it just knowing that you mean more to him than just a casual weekly "encounter"?