Boardgame where you fire ballistas at opponents towers?

Hi everyone! Are there any boardgames where opponents use little ballistas to fire across the board and knock down the other player's tower?

I have a nascent concept for a two player game like this. Each turn a player fires their little ballista (fixed on the board but on a 180 degree swivel that also tilts vertically) at the other players castle. They might also fire at opponents' soldiers and the doorways of the castle, which might be represented by cardboard drop-down targets. Additional targets like flags would provide points or resources for the shooter.

The castle could be a fixed plastic wall with red target blocks that can be knocked clear by the projectiles, or the castle may be entirely destructable, like a physical version of the old Nintendo game Rampart. Players placing each individual section of walls to build strategic defenses for drop down targets (representing the royal family, castle clergymen, nobles, etc.) the sections are protecting.

Strategy could involve what to target, where to position soldiers, and skill would be involved in aiming down the tiny sight of your ballista.
Between the two opposing castles would be a battlefield where soldiers could engage each other in some way.