Block Island Club Share: Associations/Clubs Block Island Club Visit Website 136 Corn Neck Road PO Box 147 Block Island, RI 02807 (401) 466-5939 About Map About The BI Club is not-for-profit sailing and tennis club. Memberships are open to the public, and are available on a seasonal, month-long or week-long basis. What's Nearby? Distance: 5 10 15 20 25 50 mi.