Luckily for me, Alex in Leeds came up with a clever solution that I think I'm going to try: The Book Jar. All you need is an empty jar and some strips of paper. Write the titles of the books from your TBR pile (or any other books that you want to read) on separate strips of paper, fold them up, and put them in your Book Jar. Then, once a week, or once a month, pull a a title out and that's the book you read. I like the serendipity of it. And that it's so easy! I've already found and filled my Book Jar with my 34 titles. And the first book from my TBR pile that I'm going to read? (Drumroll, please...) Castles in the Air by Judy Corbett.
(P.S. A special thanks to Melwyk from The Indextrious Reader; it was her post on the Book Jar that led me to Alex's original post in the first place.)