Fitz,
I have a Grizzly baby drum sander that has worked great. I cut strips to the correct width on the table saw (1/2") and then rip 2 or 3 planks out oversize. Run them through the drum sander to final thickness.
I think the manual for the drum sander says don't go under .100" or so, but I've taken it down to .050" without issue. Adjustments get touchy when you get that thin, but I didn't lose any planks or ribs.
The ribs are made from white cedar shim shingles. Buy a whole bundle at the lumber yard for little money. I think they're about 16" long. Same deal, cut to width (3/8") on the table saw then thickness (.060") with the sander.
Gunwales, stems, thwarts, decks, seat frame, all of it went through the sander to get a uniform thickness to start with. There are some tricks to keeping really small stuff square. They tend to roll a little as they go into the sander and you end up with a rhombus shape instead of a square.
I probably wouldn't have tried to make a model this size without the sander. It's invaluable for this type of stuff. I've had it for years and ran tons of wood through it. Can't beat it for figured wood, zero tear out.
I laid out the taper on the ribs, rough cut with a knife and then finished up with a belt sander. Rounded the edges with a piece of sandpaper.