Cheap Apartments For Rent In Conway Ar . You might be interested in studio apartments , 1 bedroom apartments , 2 bedroom apartments or 3 bedroom apartments , or browse all rentcafe apartments for rent in conway. 1238 w 11th st, north little rock, ar 72114. The Park at Riverdale Apartments Little Rock, AR apartments for rent from www.apartmentlist.com The average apartment rent in this area costs $1,024. 40 affordable apartments for rent Generally, low cost apartments for rent in conway come in below the average monthly cost of all similar apartments.in order to help you find your next apartment, we will break down the cheap apartment inventory.