Apartments For Rent Monroe Ct . Our team has verified this property. We found 640 apartments for rent in monroe, ct. 4409 Monroe Ct Naperville, IL, 60564 Apartments for Rent Zillow from www.zillow.com On the average rent for a studio apartment in monroe is $1,501, and has a range from $860 to $1,845. Home is a 3 bed, 4.0 bath property. About 905 milkfarm ct monroe, nc 28110.