You can watch MNF coverage live on ESPN in some parts of the country dependent on your internet provider I believe. NBC has something similar for their Sunday night games that’s actually better than the television coverage. They give you multiple cameras you get to choose from at any time, it’s pretty impressive.
You can see if you’re able to get the ESPN coverage at ESPN3 I believe.
And the Sunday Night Football stuff is at – Sunday Night Football
As for the rest, sometimes the other networks will show something online, but I haven’t seen it consistently yet.
Depending on how much you’re willing to spend for football, DirecTV offers different ways to access their broadcasts and has started including their Sunday Ticket package with their larger subscriptions. It includes all the games and they have ways to access them online or mobile options. More info at NFL Sunday Ticket and the mobile stuff at NFL Sunday Ticket To-Go
There’s always the closest sports bar as well. Or hotel, airports, restaurants, pretty much anywhere shows the Monday Night games if you can get out and about.
Good luck.