Apartments For Rent Linden Hills . An apartment unit in linden hills is as an average $1,032. Studio apartments average $1,036 and range from $695 to. Elements of Linden Hills Apartments Minneapolis, MN from www.apartments.com Search 18 rental properties in linden hills, minneapolis, minnesota. Smooth work commute, popular bars and nightlife, nearby restaurants and grocery stores, and safety. Apartments for rent in linden hills mn.