Using air-to-air missiles like the F-22’s specifically against balloons this one would be a challenge. This is because high-altitude balloons, despite being massive in some cases, can have a remarkably low signature, which creates guidance problems for missiles.
“[Balloons] have extremely small radar and thermal cross sections, making them relatively invulnerable to most traditional tracking and targeting methods,” read a
report published by the Airpower Research Institute. “Estimates of their radar cross sections are on the order of hundredths of a square meter, about the same as a small bird. They also tend to move very slowly compared to traditional airborne targets, almost drifting on the wind similar to the chaff that modern Doppler radars are designed to ignore.”