Based on my experience rowing the wilderness waterway, and looking at the pics of your very nice boat, here is my 2 cents. Many, many miles of the WW are wide open, crossing lake-like bays or coming down wide rivers, where sailing should be easy. There are some more narrow areas, where rowing may be a nice alternative for lack of fetch for the wind. There is one stretch, through Alligator Creek, where the width is not quite enough to get both oars in at once, as DWM alludes, but based on your photos you should be able to scull through that stretch if you want.
And then there is the short stretch that everyone thinks of as the WW, because it is the true filter - the Nightmare and upper Broad Creek. You can avoid the Nightmare (I did due to tides) by sailing out Broad River and then coming up Broad Creek. All EC-legal. Right about where the Nightmare runs into (out of?) Broad Creek, the upper stretch starts to close in. Mast down, too much canopy. And it gets narrow - oars in, start to scull (I paddled).
But then it gets REAL narrow. Look through some of the video and photos posted over the years. My rowing shell had a 32" beam and was 18'. In places, I had to do 3-point turns to make it through mangrove roots, pulling myself along hand over fist. This is the part I do not know if your relatively wide and high craft (mine only needed 12" vertical, other than my hunched body) can squeeze through. Every year roots and branches need to be cut back so even slender kayaks can make it through. It is a jungle.
If you make it through there, that is the end of any narrow stretches. If you need to turn back, just head out Broad Creek and sail on down and around. In my opinion, the part of the WW you will have traversed by then is well worth the extra day or so it might take, even if you do not get the alligator tooth. You would still get the shark's tooth for completing the EC, if you make it to Largo. And you will have had your fill of reptilian wildlife.
But like DWM says, no matter what route you take, you will have plenty of adventures.