You could have a plumber or handy person take a small sump pump some pipe and a faucet and create a pseudo faucet that just pumps the exiting water from the bat

You could have a plumber or handy person take a small sump pump some pipe and a faucet and create a pseudo faucet that just pumps the exiting water from the bath up through a faucet all for the low cost of a few cents of electricity per hour. If this is something that has been a fascination for an extended period of time already (where your child is not just temporarily fixated) you could I am sure also have the concept built in to a bathroom tub.