Every Hobie kayak is built to mount a sail. They also make inflatable kayaks. Hobie kayaks use a pedal drive instead of a paddle. Seeing as your leg muscles are at least twice a big as your legs, makes sense. Add a sail to your Hobie peddle kayak and there's really nothing too large to enjoy.
I belong to a kayak fishing group; NCKA Northern California Kayak Anglers. We take 'em out on the open ocean, so if the Pacific isn't too large, then any lake isn't gonna be either! Ha!
Here are a couple photos of inflatable Hobies with sails;
This is a photo of a 14' inflatable Hobie. Notice the pedal drive works as a keel. Just hold the foot pedals so the drives are facing straight down, and there you go! There's even a rudder for help with steering.