Have you had any luck? Check water pumping windmill suppliers online. They will have the submersible cylinder pumps with leathers and a pump rod.
Back in the day people converted their windmill/ hand pump set ups to be driven with a
gasoline / or electric engine as that technology became more accessible. They used something called a 'pump jack' which was a mechanical arrangement for converting the rotary output of a motor to the reciprocating up and down motion of the pump rod. I think it's still possible to buy them at a price, but they come up at farm auctions fairly often. I don't see why one couldn't be adapted easily to be driven off a stationary bike.
Here's a
page with a drawing of a new dempster pump jack. Expensive but gives you an idea of what it looks like. The price of it would go quite a way towards just getting a windmill.