alternative to dirt around campsite?

We have our 33 foot TT at a seasonal site and were looking for options to put down over this area of dry powdery dirt that is on our site. Our 2 boys playing always find a way to get their shoes very dirty every weekend. We can't use mulch because of the campfire and have considered an RV mat or outdoor rug but do they really help? any other tips are appreciated and thank you