Dial it back and do no more than the posted speed limit (I feel scared over 60 in the rain with AD07. A048 are even worse).
If you have tread, you should be OK. Sounds like it is a used car, so I am betting you will have little to no tread.
On average here you will be about to the halfway point with those tires by the time you get home (rear tire that is). So there should be good tread there, just don’t even thing about going medium speed thru or around anything you aren’t 100% familiar with when its wet out.
You could buy a new (different) set of tires around where you are getting the car. Then ship the 048s home and drive home on something more all-weather friendly. And compared to the 048s that would be most every tire.
If there's little or no tread left, even if it isn't raining, take it easy, particulary when you're on unfamiliar ground. If they're new or newer, speed limit or less.
I got caught in a hellacious mountain rainstorm Friday and drove from Vail to Denver in a deluge on AD07s. It was a tad sketchy although it turned out OK, but the tires still have tread and haven't been too heat cycled...and I know the roads well.
1500 miles is a long drive! Be safe. Congrats on the car.
I agree with TheViper don’t be intimidated, just drive a bit timid if its wet out.
What route are you going to take on your way home? Others here may be able to give you some advice as where to and where not to go. Or when to/not to go somewhere.
Driving from Norfolk (VA) to Houston (TX), starting on Thursday afternoon. Due to Fay I'm considering VA-NC-TN-AR-TX. Initially, it was VA-NC-SC-GA-AL-MS-LA-TX. I'll check weather.com on Thursday and decide accordingly.
If the tires are very worn you'll be low on traction, but I found my Elise with fairly new A048's to be awesome in the rain. I got stuck in a nasty storm one day and thought it was going to be hell, but they were predictable and I never hydroplaned even once. Once I got off of the highway and hit the surface streets it was one of the best times that I had in my Elise. Just take things easy and be very alert, but you'll be fine.