Apartments For Rent Flagler County Fl . 1 bed • 1 bath Find your next apartment in flagler county fl on zillow. 114 Birchwood Dr, Palm Coast, FL 32137 MLS T3297954 Trulia from www.trulia.com Lgbt legal protections updated by movement advancement project. Find your next flagler county apartment. The median flagler county, fl rent is $2,200 which is above the national median rent of $1,469.