I got some Verizon router model number is GT784WNVyour post reads like you scanned a lot already. so i wanted to ask, what router do you have?
we have a linksys (by cicso) here with a known firmware issue. the router's IP gets put as the DNS so the router makes it impossible to visit some pages, it redirects, etc. i also experienced this about 40% of the time. i fixed it by manually entering google's dns servers (8.8.8.8, 8.8.4.4) both in the router and my pc, now i have no more issues.
-another world