Small single board computer with a solar battery could spam fake bluetooth MACs all day and night. You would need additional hardware to fake the 4G signals (and this would be illegal) or things in the unlicensed bands like tire pressure monitor sensors.

Your setup would cost about as much as theirs and they have infinity money, so absent some rich sponsor you'd be limited to screwing with a few nodes. A more effective use of battery power would be an angle grinder (this would also be illegal).