It sounds pretty ambitious to me. But then some others have made it work, so maybe it's possible for you.

I think I would explore the possibility of driving part way by car and unloading the bike for the rest of the trip. Maybe you could gradually extend the distance of each bicycle portion until you find either that you don't need the car anymore or where best to make the switch. This gives you better options for when the weather turns ugly, too. I ride everyday no matter what, but only 1/4 of what you are contemplating. Don't know if I could tough out 4 times as long in some of the conditions I've experienced.

And be sure to post your mileage in the mileage tread if you decide to do it.