EDITED TO ADD:
The developer got in touch with me to inform me of a couple of options that will get me the functionality I'm looking for: sorttable and Tablesorter. This is a really nice plugin that meets the needs of bands and musicians.
There is one thing missing from this plugin: the ability for the end user (i.e., the person actually browsing the website) to sort the table themselves by clicking on the Artist / Title headers. If that could be added to future versions, this would be perfect.