If contacting the school doesn't pan out, you might try the manufacturer. Is it a Josten's ring? Looks to be (mine is). At any rate, great day digging, I see. Congrats!
The "F" you're seeing is the designer's initial (Fraiser). Neither coin displays a mint mark, as they were minted in Philadelphia, PA. Were they minted in either Denver, CO (D) or San Francisco, CA (S) they would display the mint mark beneath the "C" in cents, on the reverse.
Looks like comic book character to me. Something along the lines of The Flash. Not current on my action hero/ comic book character knowledge.
Nice find anyway!!
More than once the coffee cans of change my dad squirreled away paid for the groceries when he was otherwise broke. We lived hand to mouth when I was growing up...I don't anymore, but still keep some change sitting around, in case of a rainy day.