I also have those internal fights with myself. My T. doesn't allow texts, doesn't email and no calls. Now, if I was in absolute crisis, had a death in family or something like that she would be fine with me reaching out. But the general rule is no feelings through text because it can lead to a misunderstanding which is has before.
I usually try to distract myself and/or write a letter to her. When I'm having a melt down, I type as I'm upset. All sorts of feelings come out that I normally wouldn't be able to say in therapy. Then, I bring in what I've typed and read it to her.
I haven't done that in awhile but I did that for several sessions when I was having a hard time talking about my feelings.
Hang in there. I also usually find that my longings/neediness lessen with time. Thursdays are my "hump" days, so I'm ok if I can make it to then. Then, it's just making it through the weekend until my sessions on Mondays.
It's very hard and not much of a solution. I've asked my T. how to make it easier but I think it will just take time. It will take trial and error to see that she's still there for me, isn't going anywhere, etc.