Apartments For Rent In Ashkum Il . The average home rent in this town is $1,166. Page 1 | view 1 homes for rent in ashkum, il. 202 6th St, Ashkum, IL 60911 Trulia from www.trulia.com Find the perfect place to live. 210 tedmark ct, kankakee, il 60901. The average home rent in ashkum is $514.