I had a gardener say that their winter squash had a lot of chew marks on it. Typically this is the vole or field mouse. I am hearing more damage coming from voles this fall. Place the squash up off the ground or off the garage floor.
Get a few cats for a while.
Set snap traps, live traps, sticky boards or place Decon type baits along walls. Keep the baits out of the way of dogs and/or cats.