I'm an undergraduate student currently studying Computer Science, and my University has a paid job opportunity for undergrads to tutor a couple of hours every week in a class they've excelled at. My mark for the class was likely among the highest, and I meet all other requirements.
While I have a decent chance of getting the position, I feel tempted to include at the end of my cover-letter some subtle indication that should another candidate be chosen, I'd be interested in volunteering and lending my services in some other way. I haven't had much experience in job applications before (previous jobs include paid work for my high-school, and a local cafe, both relatively informal). Is what I'm suggesting utterly inappropriate regardless of how I phrase it, or could it be seen as an indication that my motive isn't solely monetary based, and I have a genuine enthusiasm for the class's content?
For context, it's a C++ Programming class. And for the past couple of months I've lived and breathed that language. I'd truly relish any opportunity to engage with it in a teaching capacity. Is it bad to seem "too desperate", no matter how it's couched?