LaTeX: Change Format of a Custom Counter

I just spent more time that I would like to admit trying to figure out how to change the display format of a custom counter. Specifically, I was trying to get the counter to display as a capital letter. I found several examples that

1. claimed that this is done with the \Alph command and
2. gave an example on how to change a NON-custom counter.

What took me forever to figure out is that the command for a counter called CounterName is \theCounterName. Thus, the command I was looking for is:

\renewcommand{\theCounterName}{\Alph{CounterName}}

I hope this post can help others.