That would work also.
Send in the Kurds. Let them keep what they capture.
Also this may be a boom for us. We can test the new high tech sound wave weapons there. First we have to bomb the perimeter to crush the tunnels and prevent their escape. I'd love to see what would happen if we could have some vomit gas dropped, but they won't allow that. They would either come out to surrender or end up shooting themselves to stop the heaving. Great stuff.