I realize you're asking about kayaks, but there are literally dozens of canoes that can fit someone your size plus plenty of room for gear. You can paddle any of them with a kayak paddle if you want. And you can still use them at any lesser body weight.
A different idea: the Kruger Dreamcatcher is the kayak version of the Kruger Sea Wind. It was specifically designed for the Great Lakes and ocean. Not sure exactly how it would fit you, but it was designed to haul a huge amount of gear. Expensive.
Touring Kayak Paddles
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