Please scroll down to other threads on this topic in the past couple of months.
I was in WHB this year, late July and went through going and on the return to Babylon. It was the most easy run in the 9 years that I have been going out east. If no fog you can see the bouys very easy.
I use the saltwatertides "dot" com table for the Moriches coast guard station. As Don says go at high tide. But now, with the new route, you have a little more window of about 2 hours on both sides, however, that can change quickly.
Good Luck and have fun.
If you are staying at the town dock, say hi to Frank and Vinny for me.
Brad