You don't need a missile. Any fighter jet is equipped with a cannon; a bunch of 30mm fragmentation-action ammo would dispatch the drone. You don't need a jet; any decent piston-engine trainer plane can fly 4x as fast as the drone, just mount a machine gun on it. Hell, take a civilian helicopter, shoot through the open door. You have
ten hours to dispatch it, given that you have detected it.
But, since this is not being done routinely along the way, I conclude that detection fails. All reports about drones shot down mention that the drones were shot down nearby, likely by local air-defense teams near the target. These could as well detect the drone visually, or by the sound.