Apartments For Rent Summit County Ohio . Apartments for rent in ohio. Check for available units at linden lane apartments in cuyahoga falls, oh. 2 bedroom Brick South Euclid Duplex House for Rent in South Euclid from www.apartments.com St.clairsville, oh) pic hide this posting restore restore this posting. Local area attractions such as the summit county metro parks, blossom and portage crossings. Dayton features 6,592 low income apartments with rental assistance where households typically pay no more than 30% of their income towards rent.