So, the OP asks how would the GTSS apply? One answer would be to read the preface: http://www.scouting.org/scoutsource/HealthandSafety/GSS.aspx. Specifically what does your common sense say? In addition, if your common sense is different then I'd point you at the Activity Planning and Risk Assessment piece found here: http://www.scouting.org/scoutsource/HealthandSafety/GSS/gss08.aspx. Finally, if you still think this might be a good idea you may wish to consult the age appropriate guidelines. Many folks on this discussion have suggested that just saying no is the right answer once you know it is not a part of the Scouting program.
Another way to look at this would be why would this be scouting? Not a program of the BSA, no where to be found in the literature. I'd also suggest that the way the OP hypothetical is set up, its a idea the adults had. Youth Run?
Please review (Also in the GTSS) the commitment to safety: http://www.scouting.org/Home/HealthandSafety/SafetyThoughts/1192016.aspx Commit yourself to creating a safe and healthy environment by:
Knowing and executing the BSA program as contained in our publications...
Finally, motor vehicle accidents lead the way in claims made and costs. Just say no.