The Maths say it can be done.

Rio Hotel & Resort. Las Vegas. NV
Originally uploaded by yoooreds.

The STATS.
2524 miles

Thursday PM/ Friday AM - 3hours - 199.230miles
1 Break plus 4hour night

Friday AM/ Saturday AM - 20 hours (2 time zones). - 1328.20 miles. 9 breaks, plus 5 hour night.

Saturday AM/ Saturday PM - 15 hours (1 time zone) - 996.15miles. 7 breaks.

All breaks 5 minutes to refuel and get burgers.
Total 17 breaks max.

Total break time 1 hour 25 minutes.
Driving Time- 36 hours 35 minutes

AVERAGE DRIVING SPEED
68.982 mph. on the road.

JOURNEY SPEED (including breaks)
66.410 mph.

OTHER JOURNEY TIMES
Average speed 60mph
42 hours 4mins (or 3 hours 27 minutes late)

Average Speed 70mph
36 hours 3minutes (or 2hours 34minutes early)

Average speed 75 mph
33 hours 39 minutes (or 4 hours 58 mins early.)