If you're driving 3 miles to work, you deserve to be sat in a traffic jam.
As already suggested, get a bike and get in some exercise.
As for getting wet occasionally, do you leak? Take some appropriate lightweight rain gear and you'll be fine.
As per the TV program last night looking at traffic, the cause of our problem is NOT the government, car manufacturers, road repairs, speed cameras or the other host of things that we like to blame it on. It's purely down to the fact that most of us are too lazy to use our legs occasionally, particularly for short trips. We should be encouraging people to walk, use bikes or public transport.
The only alternative so far provided is the governments idea of "road pricing". If however we didn't have such traffic issues, probably wouldn't be suggested.