Thinking of going Cross-Country(1,200mi) from NJ to TN...on a Ninja 250....bad idea? Suggestions?

My girlfriend and I have lived apart for a while. I moved back to TN from NJ to go back to school in Memphis, and she stayed behind. Well now we are ready for her to move down here with me...she has a 2002 NJ 250 that is in perfect working order, just about to put new tires on it and get it looked over...I already have a place for us to live, so she only needs to bring her clothes and a few other things...

So short story long, there is no need to rent a trailer or a Uhaul, and the cost of doing so wouldn't be worth it....what does RideIt think of me taking it across country 1200 miles? We would probably make it a two or three day trip and do some sight seeing on the way down...

Are there any possible negative things that could come out of riding a bike at highway speeds 65-70 mph for that distance/time??

Thanks for your input

TL:DR I am considering riding a Ninja 250 1,200 miles from NJ to TN and want to know if that's a bad idea?