Underestimating your situation may be the primary danger.

STOP.

While you probably could hike the 60 miles to the nearest services, it will take several days to do so. I assume you will not camp or sleep on or near the road to avoid the potential for inadvertently being run down. I assume foraging for water will also take you off-road. You may be tempted to go off-road to cut across winding loops to cut walking time and distance.

During all those times, on- and off-road you are exposing yourselves to whatever unknown hazards you may encounter, including but not limited to injury and illness for which you are not equipped to deal. If they occur off-road, then you are that much harder to find.

Yes, it might work out that responding to your smoky fire might divert responders from some other need. But light the fire right away anyway. You know you need help, don't try to overthink the situation. It sounds as though there is also a road that needs clearing; it may well be a road critical to other fire and rescue operations - and responders do not even know that yet.

Give responders a short, easy, boring job. Let yourself feel a little embaressed if you need to. Light the fire right away. For all you know there may be someone nearby who can respond.