I've been thinking about that, actually. Would there be any way to convert the Catapult toss into a programmed die-roll mechanic of some sort. The player could point to an area that they are aiming for (a tile or meeple or something) and that target could have a programmed range set around it (invisible but there). Then when the Catapult is launched, a background die is rolled and the result translates into how close to the target it gets. It could be a D6, D12, or D-whatever die, but something that would somewhat simulate aiming for a target, while also simulating the sheer inaccuracy of the Catapult.
Alternatively, there could be one of those circulating "accuracy" bars at the bottom of the screen and the goal is to try to stop the bar at 100%. The token then is "flipped" to whatever percentage was achieved.
Just some ideas. Perhaps that's way too much programming for Catapult. I can't say from my own knowledge.