Well I for one have not seen a horse that joyfully throws its head constantly.
Have you actually had the dentist out in the last 6 months, checked the fit of your bit, and had a saddler out to check your saddle fit?
How quiet are your hands? Do you have perfect, quiet, allowing, elastic hands that always maintain a line from elbow, wrist to bit?
Do you sit very quietly and effectively in the saddle? Never bumping the horse's back, never gripping with your knees, never blocking the back or shoulder?
That's where you should start with addressing a head tossing issue. Not finding the easy way out, if you want to learn to really ride and train, address the source of the issue, don't cover it with an extra 'gadget'.
A horse that is travelling with engaged quarters, a swinging back, and into a steady contact does not toss its head if there are no discomfort issues as I listed above. Contact doesn't necessarily have to be 'on the bit', just a steady connection to the bridle a little in front of the vertical, but still steady.
When you get that, and your horse is still tossing its head, try putting up some photos of video and I, and many other posters here, can give you more exercises to help with this.