Thanks Robert and Sharpii2. After my dunking, I feel like I'd prefer to keep the kayak as stable as possible, so I think I'll make Sharpii2's idea! I cut the boards to length, one being just longer than the beam of the kayak is wide, as well as 4 inches by the thickness of the boards (about 3/4 of an inch), and I've glued the two blocks on each end with epoxy according to Sharpii2's diagram. Just have to glue the end blocks on once the epoxy cures, and I can chisel the rough bits out. Now, here's the important bit, the shape of the lee boards! I used my band saw to make a sort of curved block to guide the curves. I left it at 9 inches wide, since that was a good width based on the scrap I had available. Here it is below:
Not sure the shape is quite right. Maybe a bit thinner, say 7 inches? And move the handle a bit forward? And have the taper more like Robert's example above? It doesn't look a lot shorter than that one, but it could be the scale! It's late here anyway, so I'll sleep on it and wait for your opinions before I cut it on the band saw! The line in the middle is the line of the water. Once it's the right shape, I'll also shape it so it is more hydrodynamic.
Robert, I think the article you're referring to is this one?
How to Build Rudders & Centerboards - Epoxyworks https://www.epoxyworks.com/index.php/how-to-build-rudders-centerboards/
Interestingly, the whitewood that I'm using already has the boards in alternating orientation, since it's made for furniture, and that makes furniture stronger. So I already have a bit of a leg up on it, I hope! I'll look for some of those levers at the hardware store, and I'll use them if I can find them!
As for the positioning, I'm still going to try to mount them on the forward rails, so they end up under my legs. That is still comfortable, and it gives me some leeway for moving them, since they can go forward or aft on the rail. I'll try to put some foam or some such support under, to take the stress off the rail, as you suggest Sharpii2!
It may be foolish, but I ordered an optimist sail! I know it's considered a small sail, but it has more than twice the area of my current sail, but fits on a mast and boom that's very similar size to the one I have. The sail I already have is great in strong winds, but in mild winds it leaves a bit to be desired. I feel it will push the centre of effort a bit back, but I'll do the CE testing with both sails to see what kind of measurements I get. I might have to make a second lee board mount for the other sail!