Yes there are some great long term rentals in Grayslake and Mundelein area. I have lived here my entire life and can help you out!
what ever you do please be sure to qualify the landlord! You will be asked to show all of your credentials , please make sure the owner of the house shows theirs! You want to be sure that all payments to the owners mortgage company are paid current. A simple way would be to ask to see the last mortgage statement, that will show any late payments etc.
There are some owners who are facing foreclosure and will still rent out to you anyway, collect the rent and not pay the lender. You will get loan collectors stopping by and worse case scenario the sheriff will stop by notifying you the home has been foreclosed!
Good luck, I'm here if you any help,