My commute is 11 miles each way. I do it on a fixed gear one or two days a week. I'm doing this mainly as a way of increasing my fitness (which it has). It's also fun and provides a nice bit of variety.
So I guess the question would be, why are you getting a new bike? If you're keeping the LHT and just getting something else to have something different single speed could be good. It would also work if you're looking for something simple or low maintenance. If your priorities are something else, it might not be a good choice.