Offers Enhance your stay at Gurney's Star Island with one of our seasonal added-value packages and promotions, each specially curated to enrich your experience in Montauk. Discover Star Island AAA Discount Book our AAA rate and save! Discover Star Island Senior Rate Book our Senior Rate and save! Discover Star Island Stay Longer, Save More Stay three or more nights, save 20%. Valid starting September 8, 2020.