An interesting idea, but CJ is already trying to redirect our thinking away from vertical mine shafts:
Perhaps there is a sloping shaft built for drainage - which the Shadows will spot at the bottom of the ravine - that connects to the shaft Dimitri and Chase are in. Even without climbing gear, Shadow could get behind Dimitri and overpower, or at least distract, him.
The sacrifice could be anyone - hopefully, not a member of Instinct. Dimitri's demise, IMHO, wouldn't be a sacrifice.
Is 24 ever going to return?