One of my friends bought a small drone with the GO-Pro mounted underneath. Also a couple of battery packs for the drone which will keep it in the air for about 10 minutes. A nice carrying case too. I guess with this newer smaller camera you will be able to add some additional weight---Automatic .22 cal. turret.
JJK
For under US$500 you can get 4k on Sony's Action Cam X1000.
I have two - they get great pics. For some reason the 120 degree angle setting causes more noticeable fish eye distortion than the AS15, AS30 or AS100, but Prodrenalin corrects this with a re-render.