Summer weekend, Hamptons

GETAWAYS • The Nines

• Canoe Place Inn & Cottages (Hampton Bays), $1500, recently redone, by the canal 

• Topping Rose House (Bridgehampton), $2320, 19th century mansion feat. Jean-Georges restaurant 

• The American Hotel (Sag Harbor), $595, Sag Main Street classic

• The Maidstone Hotel (East Hampton), $1195, Scandi-chic under new ownership

• The 1770 House (East Hamp…