I ended up chopping it all down, raking it into a pile (along with the 1000's of bugs running everywhere), and set it afire. I assumed this would end my problems, but no.
This year they are back. I've even started spraying them with Sevin (we hate poison) and that still hasn't slowed them down. All my first plantings are dead except three and they have produced no squash.
I ended up planting new plants in a different area and they are fine for now. I'm not sure how to eradicate them but hopefully they'll die out somehow.
Good eats and bug squashing!