Nappy Bag Straps
Sorry for resurecting an old thread, but I just arrived here via a Google search and wanted to add one point.
When you find the ear muffs inpractical, go to a baby shop and buy the straps they have for attaching a nappy bag to a stroller. It is basically a strip of strong nylon with two loops at either end (big loop and small loop/clip) with a quick release buckle. It is strong and ideal for threading the small loop/clip onto your belt, and the big loop for attaching your ear muffs. It should solve your problem for a couple of bucks.
To not wear hearing protection is not an option.