Given these two situations I would do the following:
Misper located by dog team -
Misper health and well-being comes first, dispite what is done in training I would (and have).
1. Check the casualties condition.
2. Report to control with the relevant information.
3. Control the scene.
4. Extract from the area.
5. Reward the dog enthusiastically.
6. Use my support to set up a short runaway problem and allow the dog a text book search/reward.
Misper not located by dog team -
You must give the dog a reward.
1. Use my support to set up a short runaway exercise so the dog still gets a find and reward.
2. Report back to control having kenneled the dog, if no kenneling available then have my support control the dog whilst I de-brief control.
3. Get home quickly for a brew and bath!!
Hope this helps .
Pete.