I did this exact trip two years ago.
Left Riverside NJ late September.
(Norfolk to Beaufort) via the Virgina Cut
Outside to Cape Canaveral
I never make a date when I have to arrive, makes for bad decisions
We had a 6 day layover in Beaufort
waiting for weather
After getting the stuffing kicked out of us on the Albermarle Sound
You are going to have some exposure to Hurricane
season because it takes
At least 7 or 8 days to cover the ICW.
I would not go outside and round Cape Hatteras that time of the year.
PM me if you want more details of the trip