You will get better MPG on the old tires, less tread squirm.
If the new tires have a mileage warranty, I would not mount them before those easy highway miles.
I drove through a horrific thunderstorm on 3/32 and did fine. Just kept it below 45, easy on 2 lane road, even do-able on interstate. The weight of the vehicle helps; you will be loaded for bear. 18 wheelers blast through rain b/c their weight helps push down to pavement.