Nauset Disposal Share: Trash & Recycling: Hauling & Storage Nauset Disposal Visit Website 3 Rayber Road Orleans, MA 02653 (508) 255-1419 (800) (508) 255-5047 (fax) About Map About Nauset Disposal is a LOCAL rubbish removal company. We are happy to accommodate any of your disposal needs. We service Commercial Businesses capewide and residentially from Wellfleet through Yarmouth. What's Nearby? Distance: 5 10 15 20 25 50 mi.