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 Hot Dates, Cool Rates Save 20% on mid-week stays in May and June. Available Sunday through Thursday, May 2 – June 24, 2021. Blackout dates and some exclusions apply. Discover Star Island Senior Rate Book our Senior Rate and save! Discover Star Island Stay Longer, Save More The longer you stay, the more you save!