The canal you speak of is the Atlantic Intracoastal Waterway and as Active Captain
said, large yachts go through that. Unless you have a strange 28.5 foot boat, then you will fit under the 65 foot bridges. I doubt seriously your mast
is over 45 feet. But you need to know your height from the waterline, often called air draft. You also must know how much water you draw (draft).
Do you have a depth gauge? Your going to need one.
The so called canal (ICW) is not your problem. You problem is when you leave the ICW and head
into Currituck Sound. It is that last 4 to 5 miles after you leave the ICW and try to sail down Currituck to Corolla that is tough. If you have a chart, look at the depths there. There is a lot of shallow water.
I don't think we are getting through to you. This is a great forum and people here will try to help but maybe I am not explaining myself well.
I suggest you find an experienced cruiser in your area and have them sit down with you and a chart book and talk it through. You also need to know the protocol for requesting openings from swing and lift
bridges. I assume you have a VHF radio