jerryg, you don't HAVE to stick with the method if it's not working for you and your baby.
Hopefully your DC will quickly stop gagging so much, but if not and it's causing you a lot of stress, I completely agree with Teapot13's advice to take a break.
Our DS1 was very gaggy indeed, and used to vomit with it. Rather than stress everyone out, we just gave him finger food at the start of meals (damage limitation), and fed him mashed and pureed stuff with a spoon until he got better at managing finger food. Which took a month or two.
We've recently started weaning DS2, and he hardly ever gags and is much much more interested in feeding himself, so we are giving him more finger food.
We haven't done weaning by any particular method, just tried to be guided by what the baby can manage and enjoy. And a mixture of finger feeding and spoon feeding for both.
I do agree that the gag reflex is necessary and useful, but to my mind it's not enjoyable.