So I solved my concerns by making these little Coffee Cozies (that’s what I call them). I made several different sizes to fit my needs. You can do that too. Just take a circle of fabric, trim it if you want, and there you have it. They are easy to carry in your purse for that spur of the moment need. You can wash them too.
These are not only for coffee. You can use them when you heat up your water for tea. A Prairie Home has a cute Tea Tote Tutorial (try to say that real fast) that you might also want to try.
Hope you're having a great day.