2 things that seem to never change in that area (boated that area many years and ran that area as assistance tower for 14 years.) so even though my experience is now getting dated, I am pretty confident it will help.
Advice for boats with protected props, twins with dangling props may want to reconsider. The area in question is all sand and going slow will rarely involve damage if you touch bottom....but you have to be going slow.
1. Shoaling in the Cape May canal is usually just in back of the ferries from their prop wash. Hug the ferry area about 100 feet or less off the ferry sterns and I have never seen a grounding. Traditionally there was a buoy or two marking that shoal.
2. The average tide in the NJ ICW is between 3-5 feet. Rarely would dry land be present in the marked channel at dead low. If it is, usually a temp buoy is marking it. So if you run the ICW at mid tide and rising, you should have an extra couple feet of water over any recent soundings and have a couple hours in most cases of rising tide will help. Lots of 4 foot draft boats do it every year without issue, but staying in the channel and going slow is the mantra.
One issue that never seems to change, is staying in the channel. Lots of locals with tons of time running these backwaters go aground. Pulled plenty off sandbars. They always said "but I am in the channel". As I pulled up to them, I would line up the daymarks and I would say, "no, I am in the channel.... you missed it by a bit". The punchline is...it is tricky, especially in areas of cross currents to the channel. A bit of inattention and yes you will touch bottom sooner or later. Many boaters don't think the channels are well marked.... they are marked well enough but reading the water is a learned art that really helps.
If reading the water isn't a learned art, the next best recommendation is to try and stop at marinas or anchor close by where assistance towboats are tied up. See if you can get a moment with the captains to point out tricky areas on a chart for you. I used to do it quite often. A boater would call the office and they would patch a phone call to me. Rather than quickly explain trouble areas, I would try and meet up with the skipper to be more thorough.