Seeing as we only have 7 days to spend in the States, we would have to knock out at least 2 for driving if we'll be trekking for 1000 miles (us fatigue-less Albanians usually alternate between 3-4 drivers to knock a road trip in one night).
I don't know how far it would be for you but I'd do Northern California (Yosemite, etc.) first for about four to five days and then come back and see Oregon and Washington for the last five or six.
Something there doesn't quite add up. At least we know the reason you're not a math teacher.