We've done it from New Bern, NC to Charleston, WV and back. No top, no doors. It's about an eight hour drive. It stormed BIG time and rained a lot, lol, it was kind of fun though. Keep a squegee in the car to wipe the inside of your windshield
I drive in the rain with no top or doors regularly around town in the summer time if I have to go out. I say go for it, if you throw your soft top up, you won't get so wet anyway. Have fun!