This Game is meant for Boy Scouts.

2 staffs or broom handles per patrol
1 blanket per patrol

Patrol members gather at starting line with one member as a victim about 30 feet away.
First 3 scouts in line make a team. One scout has a blanket, each of the other two have a staff.
On signal, the 3 run out to the victim, make a stretcher, place the victim on the stretcher, and carry him safely back.
When they reach the starting line, the scout that carried the blanket runs out to be the next victim. The previous victim goes to the end of the line. The first scout in line joins the 3-man team with each scout rotating through each position.

First patrol to save X victims, or most victims saved in a set time, wins.

Alterations: If the scouts are being too dangerous in their carrying style, you may have an empty styrofoam cup set on the victim's stomache during the rescue. If it falls off, they need to start that rescue over.

Instead of stretchers, you could use 2-man chair carries. Or, have one scout build the stretcher half-way out while the other 2 are chair carrying the victim in to that point. When they get there, transfer him to the stretcher and transport the rest of the way back in.