Though I don't know much about expensive private tutors, you can get free private tutoring at the Aiina international center. (I'm sorry if this was posted before, I just can't remember at the moment) You have to fill out a form that you get at Aiina and you can fill it out in either English or Japanese. You write a little bit about how much you've studied, what you want to focus on, and when and where you would like the lessons. They will then find a teacher for you and get back to you. It usually takes between one or two weeks.
Aiina got back to me within a week, so now I will meet my teacher on Feb. 13th and I will report back on that. :)