You need to go beyond to be able to take the bike with you.
What I have in mind is some more plumbing piping on the back of your board just a bit further back than your camera rig. You may need a slightly smaller bike though. Try bribing a clown perhaps, you know one of those really small ones.
Just paddle to where you feel works, hit the shore and peddle back to your car.
Now, that's a video I want to see. Hahahah