Hello from an englishman, 23

I'm planning a solitary road trip in December, I would like to explore the midwest, from New Orleans to Wyoming, Nebraska, Ohio... What goes on in Nebraska? Should I avoid any states such as the "cornhusker State" (sic)

Rental companies dont seem that keen on under 25s. I am therefore considering driveaway companies, for people who want their car moved from city a to city b. Has anyone on this forum given this a go? Any ideas of good companies and pitfalls to avoid?

Cheers
Alex (m)