Sounds like a perfect reason for a road trip! Welcome to the Great American RoadTrip Forum. We call such trips -- "speed runs" and here are some tips you ought to read and think about.
I am a veteran of several such runs... The shortest possible route is I-40 and would be about 2180 miles. The most a solo driver should attempt to cover in one day is 650 miles (we generally recommend 500) so that would take you three+ full days of driving. You really need to figure four days. Here are some tips for cutting costs.Any help from those who have done it
Have fun!
Mark