I have a spreadsheet set up that allows quick calculation of the effect of changing the shape of the waterline on sinkage. I integrate a fourth order polynomial equation to get the waterline area, then calculate the volume required for a particular displacement. I'll post a typical example if I can figure out what I need to do to host the picture(s).
I'll put the example I intended to post into words. Waterline length: 15 feet, beam: 20 inches, location of maximum beam: 0.55(15) feet from the bow, entry angle: 7 degrees, required displacement: 50 pounds, water density: 62.4 pcf. The slope of the water line plane is zero at the maximum beam. The resulting equation for the waterline shape (half shape along the centerline) is buttline, y = 0.000 000 029 71x^4 + 0.000 014x^3 + 0.000 884x^2 + 0.1222X. Multiply the integral by 2 to get the waterplane area.
The waterplane area is 15.81 square feet, so the sinkage to support 50 pounds is 0.61 inches. Not much. But, the perimeter length is 30.23 feet, so the added wetted area is approximately 1.5 square feet (using a constant area cross section).
This squares with a bunch of layout work I made last summer; these little boats have wetted areas that are very sensitive to minor changes. (I was working on minimum wetted area shapes for the E340 race which requires solar power and battery storage with no other motivation for propulsion, so the power required to move the boat has to be extremely small in order to complete the long race. Or even get to the end of the first day of the race!)
Fooling with length in addition to the beam can screw up the stability simply due to the loss of volume along the length of the boat even though that volume might be relatively close to the centerline of the boat, it's still contributing small righting moment. This is the reason long boats with beams and reasonably similar cross section shapes equal to a shorter boat can yield more rolling stability. It's also the reason very short kayaks get fat, the volume and stability has to come from some place and there ain't much place to get it from lengthwise.