Do you have a milking stand?
If not, I'd tie her collar to a fence post and have someone hold her head and talk to her, so she doesn't hang herself, since she is a mad goat and not a (relatively) sensible sheep! If you have to do it alone, a belt round her middle also tied to the fence prevents too much silliness.
I do my goats' feet with them standing up like a horse, as they object loudly to being tipped up as I do my sheep - and to be fair to them they don't have the cushioning of a nice fleece.
But the above method won't be as entertaining as your earlier one