I happened to see some athletes warming up for this event and couldn't help but recall the huge catapults I'd seen on TV which were designed to launch pianos ... 200 yards. Applying their manner of working to the human torso seemed eminently feasible.
Here is my "alternative"
You place the shot in your cupped hands with interlocking fingers.
In the now standard way of rotating the body then throwing, it seems that one is using less of one's muscles than is actually possible.
Observe the difference
In the normal shotform you use one deltoid, one tricep, some back and some right leg. You could say you used more to get up the spinning speed ... OK ... maybe.
In my proposed way you use ... two deltoids, two biceps, both thighs and both calves and heavy on the back muscles. I don't see how this could fail to outdo the standard form. The power must be close to a "Clean & Jerk".
Some big, hairy, musclebound motherputter ...