The only real potential stops before Cape May would be Barnagette and then Atlantic City. Barnagette would be tricky though with the draft and I have never done either.
Cape May will be easy and it has a nice anchorage area right off the Coast Guard base where you will see some other sailboats. Plenty of water there for your draft, you can take your dinghy either across the harbor where there is a marina or farther up the channel to the area around the Lobster House. Stay in the channel unless you are going to the anchorage area and dont go where the boats are on moorings with your draft, as you will most likely be on muddy bottom.
If you need to go to a marina you pretty much have two choices. Two Mile Landing which is to your right under the bridge (Two Mile Bridge opens on request on ch 13 I believe) after you come into Cape May Harbor and then Utch's. I stayed at Two Mile Landing when I brought my boat with 5'7" draft into Cape May and they had tons of water (for NJ) as long as you hug the marina side. A lot of current does rip through that channel and the slips though, so if you are planning on going in there and you have anything besides a spot on the end, I would try to do it at slack tide.
Hope this helps and enjoy Cape May, its a great summer town! I will be making exactly the opposite trip from Cape May to NYC the end of July.
New owner of a Lippincott 30!
Hailing from the West River, MD