So it turns out that GoDaddy owns another company that brokers domain name sales between third-parties (for a commission of course).
In my case, they would charge a 20% commission. So in theory, it's like what do I have to lose? You enter your asking price and then you give them a "wiggle room" option, authorizing them to negotiate down to that amount to get a sale done. Honestly, if I could sell the domain name for $1,400, or even $1,000, I probably would.
The rub is that they will attempt to upsell me on things like "premium placement" and other crap to attempt to "expedite" a transaction.
I honestly don't think my domain name is worth much, but it is short, and it's a .com, and I could see other applications for it. I might spend a few minutes on it this weekend just to learn more about the process (though I'm guessing it would take months for an actual offer).