White pine would work, if you can find a clear piece, possibly to cut out of a 2x6 or bigger, if you don't get lucky with a 2x4. Fir would be heavier.
See if you have any specialty wood vendors. There's a place near me that sells clear redwood 2x4s for about $26. Sounds high, compared to a $4 stud, but, it's pretty cheap, for a new paddle.
Overstock Outlet Foods
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