my ball head is stuck on my tripod. I‘ve tried The freezer idea, the heat gun idea, the strap wrench idea. I have no desire to ruin the head so I did not go medieval on it with the heat gun. The strap won’t grab low enough to turn the whole head so it ends up rotating the pano feature.
Will a hose clamp fit around the base?
If so, you might try fitting some thick rubber bands around the base, and a 'screw-drive' type hose clamp over the rubber bands.
(Rubber bands are to add grip and help prevent scratches/damage).
Then gently tap on the adjuster screw of the hose clamp counterclockwise.
Some tripods/heads - notably Bogen/Manfrotto - have set screws that go up from under the mounting platform and bear on the base of the head. These are to stop the head from rotating or coming off, but naturally they need to be loosened to remove the head. Sorry if that is an obvious thing that you already checked.
You may want to try using release oil.
Most ball heads have a screw on the bottom that holds everything inside (usually at the bottom of the socket thread).
If you decide to open it up, you probably will need to remove the side locking screw (or at least back it out completely). Once the base plate is out, there will probably be a thin metal cage. Do note how it fits in or else you will damage the precision ground ball when tightening.
Just a small tap on the top of the ball and the whole thing should come out loosely.
I've done this to a Cullmann ball head that needed lubrication.