The problem with driving through the night is that you'll be completely socked the next day. Not worth it IMO.
meh, it's only 7 hours. I'm not sure that even counts as driving through the night.
In a situation like this I think I'd be totally fine. I'd take a nap shabbos afternoon and then sleep a couple of hours in the morning when I got in.
But it's a non-issue at this point...