I had the occasional one on my veg patch a few years ago. Into a carrier bag, then that into a well knotted bin bag, then into the council bin.
I'm perhaps slightly less squeamish than your David, so rather than using the carrier bag as a 'glove', get it onto a spade, put it into the open neck of a bin bag laying on the ground, knot that bag, then double bag it into another bin bag.
Most unpleasant.