Do you ever drive with your top up?

We take a lot of 3-6 day road trips and have gotten caught in the rain many times. If it's nice the top is down, don't mind the cold (MN) do a lot of fall driving to see the fall colors. The heater gets a lot of use and you layer up clothes and wear some gloves. Went around Lake Superior in 2009 in 68 Dart GT vert in July, I don't think it ever got over 60 degrees. A lot of fun but chilly.
Looking to do Route 66 this year over a 3 week span, so I'm sure we'll run through a lot of rain.