Actually, I dont think he could bring himself to do it. Bilbo was the only one that could drop the ring, that shows he has extreme resistance to its power
Much worse. You see, in the end it was gollum that saved middle earth, when he bit Frodo's finger off. I don't think Bilbo would pursue frodo, or bite his finger off.
But of course! Well you see, if you try to divide 42 by 0, you get nothing, its impossible. Therefore, the culprit behind the fiendish act must be the potatoes.