Put it in a large ziploc back and position it so that the bag opening is facing down. I do this during rain and snow cooks.
Something like this would probably work well.
https://www.creatroninc.com/product/5v-heating-pad-5x10cm/
Not Really, If its in a case, sitting it on that heater, it would do nothing for the Heatermeter. It would heat the bottom of the case. Plastic is not a good at transferring heat.