Toyota Prius or Honda Element
The Prius because it's a hybrid and it's just the right thing to do.
The Element because you can just roll the bike right in the back end. If you're really thinking about camping, you can also haul the camping gear easily, and even slap a foam pad down in the back and sleep in there.
I'm a "chick" of a certain age, and I would think good things about a guy driving either of these. As opposed to a Miata or any of those p*nis-mobiles guys seem to drive after 50.