Dude...that's a LONG way...it's gonna take you all fucking afternoon bro...
About 3000 miles depending on starting and ending points, so figure no more than 700 miles per day for comfort. (yes, if you drive like a bat out of hell and drive 15+ hours per day, you can make over 1000 miles/day, but that wears you out pretty badly.)
Figure on hitting a motel by 5 p.m. to have time for a decent meal, a shower and a good night's sleep before hitting the road the next morning.
Of course, you COULD do it just the opposite...sleep all day, drive all night, but unless I'm just trying to make time, I'd rather see where I'm going. Planning to hit major cities at night can be good though...you miss the rush hour traffic.
I drove truck for Fiberform boats out of Spokane when I was just starting out. They also had a plant in Edenton N.C. and we ran between the two plants all the time. A good sleeper team can make it in less than 3 days assuming no problems along the way. If you average 65 mph for the trip, (which allows for slow stretches, gas stops, etc. and the higher speed limits of many states) you have about 47 hours of driving time. Figure closer to 50 for good measure. Drive 4 days, 12 hours/day, and you should be in good shape, and not be wiped out for days when you arrive.