I do a lot of the local road course tracks. There are a couple of ways to go to get track time around here.
NASA
http://www.nasamidwest.com/
I will be going to my first event with these guys this year. I know others who are a part of this group and they speak highly of the organization.
http://www.mcscc.org/
This is a halo organization to a bunch of smaller clubs. Midwest council has the ability to get the track time and is the organizing body for the smaller clubs. Join a club and you can run these events at member prices.
http://www.mvptracktime.com/index.html
I went to my first event with this group last Monday, June 1st. Excellent! 6 20 minute sessions at Autobahn on the full track (3.5) miles. Very well run, good people and all sorts of different cars.
None of the tracks are real close, but they have all been worth the drive! It sounds like you want HPDE (track time) events vs Autocross (timed). My experience is that with HPDE you get a lot of track time and autocross you get some decent track time in warm ups, after that it's an afternoon of single lap timed runs.
If I can help let me know. If there is an event that you end up deciding to participate in, and I'm going as well, I would be willing to meet and get you through the process of tech inspection etc.
Good luck,