Apartments For Rent In Penobscot County Maine . View floor plans, photos, prices and find the perfect rental today. Find your next apartment in penobscot county me on zillow. 37 Fountain St, Bangor, ME 04401 Trulia from www.trulia.com See 1 apartments for rent under $900 in exeter, me. Official penobscot county apartments for rent. The median penobscot county, me rent is $1,350 which is below the national median rent of $1,469.