You have plenty on the island, and within a short drive of BPB, to keep you and your companion's interest. Based on your description of the courses you're looking for, Wayne's recommendation of The Creek is spot on. At a hair under 6400, it is short, sporty and wonderful. As an added bonus with no extra charge, you'll get to see and play one of the greatest holes in the world, the 6th at The Creek - it is not to be missed.
And do me a favor when you go, take a pic of the approach to the 5th so we can put to bed the ridiculous notion of Pat Mucci that the hole possesses a skyline green, and he can finally make good on his bet to me.
P.S. In response to a previous post - although Fishers Island is a fine choice, it is not easy to get to from Farmingdale - you'll have to drive back through the city and nearly the entire length of CT to get to New London, where you'll have to board a ferry.