Ended up being a cool case. I was filling in at one of our non-24-hr hospitals last night, so had limited staff and equipment... I took the branch out, debrided the entry area, put a drain in, tapped the chest a few times for the pneumo (really probably needed a tube+pleurevac, but we didn't have one). Shipped it to our 24-hr hospital in the morning. They CT'd and found that the stick entered the chest, tagged a lung lobe, and caused a partial d-hernia. There were tufts of fur in a lung lobe. Fixed the hernia, partial lung lobectomy, cleaned out both compartments, closed. So far, at least, doing well.
Very nifty case. Also pretty amazing how much trauma a body can take. I mean - in the axillary region, into the chest through the ribs (no fx), tag a lung lobe and leave fur, puncture the diaphragm. Very cool. I'm just glad I didn't kill it trying to stabilize.