It can be really intense and overwhelming to get the kind of sensitive, focused attention a therapist can provide, so I think your response to want to get more of it makes total sense. However, it sounds like you're pretty distressed by how all-consuming your feelings are. I too think you should talk to your T about it. If I were in your situation, I might just say that I felt uncomfortable about how intense my feelings toward her are and see how she responds. You don't have to get into the specifics of your behavior if you feel too embarrassed to talk about it. If she responds well, you can get into it more if you want to. Just hearing your T say she understands how intense your feelings are and she isn't freaked out by them might make the feelings less intense.

That said, maybe you can think about ways to re-route your behavior patterns because it sounds like they are making you feel bad. You aren't really getting the closeness that you crave by doing what you're doing. I know some people have been able to reduce their internet searching by saving a picture of their T and looking at that when they feel the need to "see" them. You could try going for a walk or a scenic drive elsewhere when you feel the urge to go places where your T might be. Depending on how your T does therapy, she might give you what's called a transitional object, which is something very small from her office (like a pen or a rock or a business card) so you can literally have something to hold onto between sessions.

I also think that if your T wants to see you twice a week and you can afford that, then you should do it. It would cut down on the intolerable wait time between sessions, and it might help you benefit from the actual connection you have with your T rather than being burdened by the fantasies of wanting to see more of her out in the world.