This is going to be my - I graduated college in May and have yet to find a job, don't have anything better to do, lets see the country - Roadtrip.

I am looking into taking a roadtrip from NC to Seattle (maybe 4-5 days to get there) to visit a friend, then taking my time getting back to NC via OR (PCH), CA (Sequoia NP), AZ (Grand Canyon), UT (Arches NP), NM (Carlsbad Caverns NP) - I plan on sleeping at truck stops and camping. I am planning 3-4ish weeks for this trip. I have estimated ~8000mi. Does this seem like a reasonable amount of time and milage? Am I crazy for doing this by myself (some people say that I am out of my mind!!)? Are there any places that I should avoid because of weather? I can drive in snow but I prefer not to. I'll be traveling Late Sept - Early Oct.

Thanks for any advice that can be provided.