(Sorry, can't resist...)
For shoal draft, beachability, and exciting performance, you can't beat a multihull. And yes, they can be built out of wood - an ideal candidate for diagonal veneer cold molding, in fact. Here's Malcolm Tennant's "Chrome 9.6":
The "Chrome - 96" is a small cruising trimaran with a high performancecapability. There is full standing headroom, a fold out double berth and three other permanent berths to give a total sleeping capacity for five. There is a galley, folding table and a head with shower. All this is contained in a lightweight structure surmounted by a high performance, but easily handled, fully battened rig.
SPECIFICATIONS LOA 9.6m 31' 6
BOA 7.3m 23' 11
Displacement [on DWL] 1,800 kg 3,960 lb
Sail Area 57 sqm 614 sq'
Hope for the best, but plan for the worst.