You can now fish AND kayak!!!!

They have solved your "dilemma."  Fish AND paddle, d00ds.

And be as cool as the paddleboarding chumster.  Sort of.

http://www.backwaterpaddles.com/

Also...if you get ambushed by the Chinese National Table Tennis Team while you're fishing, you can defend yourself.

I actually have one (freebie)

and I use it

Yet another reason why I bought a mirage drive boat.  They need to tell their site developer/designer that red text on a blue background is nigh on unreadable.

I actually have one (freebie)

and I use it

Does it work well?  It looks like it'd be hell on your wrists.

And how is this supposed to be better than picking up the paddle I already have on my deck and doing a quick one handed corrective stroke? 
Nice of them to be innovative and all, but to me it seems like they are trying to solve a "problem" that doesn't exist. Between fishing gear, paddle, pliers, and lip gripper I've got enough on my deck without adding a ping pong paddle (which would be a whole lot cheaper anyhow.)


$5.75 at Target: