During WW2, the British used Spitfires to shoot down V1s. The V1s, pushed by a simple pulse jet, I presume are much faster than the drones. So some WW2 aircraft could be re-armed and used to shoot them down cheaply.
The British also employed a belt of radar-guided flak guns to shoot them down.
I don't hear any comparisons with the V1s, so my idea must be stupid, but I'm not seeing the flaw in it.
A v1 was 30 feet long with a 20 foot wing span, and had no evasive capabilities.