I totally disagree with Palomine!
The horse that has a hight head carriage will fight even more if you are dropping hands down and using weight on the lower jaw to lower it. A orders hands should remain in a straight line with the mouth so, if a horse has a high head carriage your hands need to be higher,
What I would do with this horse is ride it on a loose rein, keep my legs on its side and if it started to rush, I would not pull back but be quick to guide it onto a circle which decreases in size until it has to come back to a walk. No pulling back.
The hot horse is going to be looking for the rider pulling back and will probably panic a bit, start shoving their head down and jerking looking for the familiar pull. It takes a while before they realise that it is no longer there, that they can happily work without being het up. Then and only then can a contact be asked for.
You have to get the mental attitude right before you can get the physical results.
When I have had horses that keep their heads up even though they are not het up, I will actually raise my hands and hold the horse's head even higher this takes a lot of strength and times when my hands have been level with my ear height! When the horse starts to want to lower its head, I will keep it high for a short while longer and then let it go down. Soon if it raises its head and I raise my hands, it immediately lowers.