Cheap Apartments For Rent In New Lenox Il . Cheap is a relative term to communicate more affordable rental and living expenses. Find your next apartment in new lenox il on zillow. 236 E Woodlawn Rd 236, New Lenox, IL 2 Bed, 2 Bath Condo 17 Photos from www.trulia.com What does cheap mean for apartment rentals in new lenox, il? Use our detailed filters to find the perfect place, then get in touch with the property manager. The average apartment rent in this municipal area costs you $994.