For high tide thru the bad spot hit at or a hour after Moriches Coast Guard station.
Also try to lighten up back of boat.
I moved my dinghy to bow.
Cooler I put inside forward.
On way back I had 6 people and 2 dogs and I put 4 people on forward bed.
The bad spot is wide and not consistent, so it has high and low spots, so if you chose the wrong path you can touch.
I never saw less than 5' but if I moved over say 1 foot, that could be different.
Here is my path. Green is track boat took, brown is my marked route. Very important to study charts, mark a route out, then use your vision to adjust. You can see Remsenburg up in the upper corner. The marina looks like it has all good water out of Seatuck Cove.
Not sure why the chart says green 28, that is a red and where the bad spot starts. So red 28 stays on your port and hug it close.
The buoys between there and red 24 are not charted because they shift alot!
On the chart where it says bad spot, is where green 27 and red 26 are. You can see you have to leave the channel to get thru there.
After that is is all decent.
If he can do this at high, then I recommend option #3 and go out Fire Island Inlet.