The only way around it would be to find a deep enough cave or I suppose one could dig a deep hole if you had a shovel. Burying yourself with enough dead air space around you to keep breathing but it would only work on a fast moving fire. If there's little wind and a lot of fuel, like the fires that are burning a few miles from my home at the moment, you're gonna die anyway if not directly from the fire, than from the thermal energy or from lack of oxygen.

Nothing that you will typically find around is gonna be fire-proof enough to save you, certainly nothing that a typical camper would have with them, ie, tents, tarps, etc.