Apartments For Rent Savannah Ga Downtown . Colonial grand at godley lake | 1475 benton blvd, pt wentworth, ga. An apartment unit for rent in downtown savannah is on average $2,448. Andover Crossing Apartments Savannah, GA 31419 from www.apartmentguide.com Whether you're looking for 1, 2 or 3 bedroom apartments for rent in downtown savannah, cheap apartments or luxury apartments you can specify the price range that works best for you during your savannah, ga. One bedroom apartments average $2,453 and range from $515 to $3,325. The average home rent in this neighborhood is $4,030.