My personal preference is that if the goal is to deliver the boat, just go. Going in and out of Atlantic city is both a lot of time and significant additional expense. But if your crew is taking this as a leisure trip, then things are different.
We left Annapolis
, anchored before the C&D then went into Cape May for a few hours to fuel
up etc without having to pay for dockge, then left Cape May at 10 pm and were in Brooklyb at a yacht club by 5pm. Our destination
was Huntington, so we wend inside.
During another delivery
of my own boat, I again went inside because I was recovering from some treatment, was practically single-handing and needed the rest.
Of course all these decisions depend very much on weather