Thanks ageofturn. That is what I was afraid of. I actually have a small amount sitting on the counter now that has been out about 24 hours. I am testing to see how long (visually) it can last.
I do not want to use a plastic cup. As mentioned before, we spent a lot of time finding the mugs we felt were perfect. I certainly want to use them now that I have them. I also am not going to drink my coffee with a pot holder. Not only would that be awkward at best it would also be dangerous.
msmofet, I was never looking for suggestions on how to get around this issue, not that I mind them. I think I actually said that twice now. All I was looking for was an answer to the question I posed in my original post and in the title of the thread. I am grateful that so many people here did try to come up with solutions for me. I love the helpful nature of everyone here. I knew ahead of time though that nothing short of leaving the coffee out, if possible, would work for me. That is why I was not asking for suggestions on other ways to do this, but just if one specific way would work for me.