Thanks to everyone, for the words of advice.
After thinking about my problem, I realized that the most important thing, was not to panic. I figured I'd try the easy fix first, and it worked.
I was doing this on my kettle, so the first time I had to add charcoal, I just sat my beer there, and acted like it had been there all along.
It turns out, that pig parts aren't very smart. (I guess that's why we eat them, instead of the other way around.) It didn't seem to notice that anything had been wrong, and my pulled pork turned out just fine.
Thanks again, for the support, in my time of need.