Fast Stand Up Paddle board design?

Leo you are a demonstratedly polite and modest individual. For what it is worth, you are also respected and appreciated.

As far as my limited imagination goes, a paddle board is a pure displacement bouyant object unless it is surfing on a wake or wave.

How could we contrive a paddle boat that had the potential to plane with the small thrust of a single paddle...or double paddle if you prefer? For arguments sake let's allow that the paddler can sustain 500 watts of input. Can we presume that the paddle is capable of translating that 500 watts into thrust? If so, what to do with the boat layout? Seems to me that we'd need a very wide flat surface for the bottom. Maybe hammer head shaped on account of the limited reach of the paddler. Could we overcome the skin friction of an expansive bottom with our limited power output? What is the limit of bottom loading that would be necessary to do what we want to do?

Yes I know that planing/displacement transition point is arguable. I know that paddlers have suceeded in flying a kayak with the use of foils. No foils allowed here. (sorry Doug) A fun day dream? Why yes it is.

 

Paddlers have ,indeed, succeded in flying a kayak. I wonder if this guy stood up-very carefully-if..........nevermind:

 

I read it as if the poster was interested in planing on waves.
I agree, though, that the speeds of a paddle bard make it a displacement vessel for most of the the time.

 

What is faster, a square tail or a swallow tail (the orange part on the drawing is cut away)
Depending on the weight and where he stands on the board, the tail has contact with the water.

The tail has a rocker to reduce the draft.

(The swallow tail has some advantages for the manouvrebility)