A broad brimmed hat (beloved by those of us who sunburn easily and are allergic to sunscreen) does a great job of fanning a fire.

So does a broad-bottom pan such as a pie tin or a frying pan, if you use one.

I hadn't thought about a foam sit pad, but that should work as long as it doesn't get too close to the flames and melt.

IMHO, it's better to have a multi-function item to save weight and bulk.
_________________________
May your trails be crooked, winding, lonesome, dangerous, leading to the most amazing view--E. Abbey