I remember that ice storm, we were without power for 3 days with temperatures reaching well into the negative teens Celsius.
I didn't have my frog then either, I jut got him this fall. That ice storm was on my mind the whole time. If it happens again, I have several heat packets like the kind people use to ship reptiles with on hand, as well as the kind people use for skiing, which are a bit shorter lasting. That's mainly for shorter outages.
I also have a powerful UPS I brought home from work for the winter that is fully charged and ready to connect in a longer emergency. I don't run it full time because the one I have is quite loud. A PC friendly UPS would probably be quieter. How well this will work with the ambient temperature of the room getting so low I don't know, but it's the best plan I could come up with.
Whatever you do, don't use a combustible heat source such as a barbecue.