Now that I'm thinking about whom I'd pick nowadays I think I'd go for one of the Rohirrim, preferably Éomer or Éowyn. I'm not much of a fan of Éowyn (due to her love interest), but I like what she stands for, as a woman standing up against her role in society. And Éomer? He's just plain awesome.
I picked Aragorn back in the day lol. I think I still do, I just really like the idea of knowing all the ins and outs of the outdoors, as well as being an absolute master of swordfighting, secret royalty, and all that.