TownePlace Suites Cleveland Airport 2-star hotel. 7325 Engle Road, Middleburg Heights, OH 44130, United States of America â Show map. Excellent location â rated 10/10! Rated by guests after their stay at TownePlace Suites Cleveland Airport. Just off Highway 71 and within 4 miles from Cleveland International Airport, TownePlace Suites offers self-catering rooms with working space and free Wi-Fi. Hotel has an outdoor pool and fitness facilities.