Congrats on getting it done AND off your other boat!! I don't know about you, but for me, that step was a real butt puckering moment...
It could take up to a week before your resin gets to its full hardness, until then you shouldn't make any rash decisions about the stiffness. Your hull will also firm up a bit when you close up the stems.
How much does your shell weigh right now? I was really excited when my bare shell came off of my plug weighing only 16 lbs (or so), then really bummed at my final weight of 29 lbs.
But, back to your boat. The most cost effective balance of added stiffness and lowest weight will come from some sort of stiffening substrate and a layer or two of glass over that. Pretty much the same construction as most strip builds. Jim used more cedar strips. I used 1/8" thick H80 Divinycell. IIIRC, the Divinycell was 5 lbs/ft^3. Cedar is about 22 lbs/ft^3.
I epoxied it in place and then added a layer of 5 oz carbon over the top. I should have used a layer or two or 4 or 6 oz E-glass.
Below is a photo of my partially finished Carbon Copy Kite, no gunnels, no decks, no bulkheads and no thwarts. I weigh 150 lbs and the cradle supports are 8 ft apart. I could detect NO deflections as I stood in the hull!! I'd say that's testament enough for the powers of a little extra thickness. I remember Alan did something like 9 or 13 layers and still wasn't fully satisfied with his hull stiffness.
My Kite has a very pronounced knuckle. That knuckle provides plenty of lateral stiffness in my hull. If you hull is more conventionally shaped (like Jim's) you may need some addition stiffening in the sides as well. Also depends on how you make your gunnels.
My gunnels are carbon fiber and glass over foam. I was disappointed at how much resin the carbon required to wet out. That led to a substantial weight gain. When I do it again, I will use only glass over the foam.
Anyway, I've rambled enough. Looking forward to seeing the rest of yor build!
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