Cheap Apartments For Rent In Elk Grove Village . 4 rows the average apartment rent in elk grove village costs renters $1,741. The current average price for apartment rentals near elk grove village, il is $1,594 per month. 1000 North Lake Shore Drive Chicago, IL apartments for rent from www.apartmentlist.com Find your next apartment in elk grove village il on zillow. We found 32 cheap, affordable apartments for rent in elk grove village, il on realtor.com®. There are currently 2 apartments for rent near elk grove village, il.