Try the LaQuinta Inns.  They generally let you leave your car for a week in their parking lots if you are flying somewhere and stay one night with them...I would assume they don't care if you are flying or not so should still be okay.  I've also heard some will charge just $10.00 per week after the first week.  It may vary so check with a Bloomington LaQuinta 

Not at all unusual for me to have to drop my trailer for several weeks in all sorts of cities..........

Go on the net and look for outdoor storage. A few words of advice......try and avoid dealing with any franchise storage facilities as it is fraught with all sorts of paperwork and the occasional monetary entanglements. If you get the Mom and Pop type places they will usually charge a daily or perhaps a monthly fee. If you pay up front be sure to keep your receipt as the bookkeeping in such places is usually suspect at best.

Usually the internet will also provide you with a map of sorts showing the locations.......simple matter to click on the icons and decide which one is best for you. Safe and secure  up

Sometimes contacting the local police station can be helpful.

   Myself and a buddy will be meeting in Bloomington Illnois on May 30th, 2013. We are searching for a place for him to park his truck in Bloomington and continue the trip in my truck.
   Does anyone know where we can safely park his truck for 2 weeks in or near Bloomington.