I don't know anything about this team, but the ideal procedure would be minimal disturbance of this site, with minimal removal of artifacts from the site. Organic material for carbon dating, great.
There are several principles that one mist follow. Archeology is a destructive science: you can't dig the same pit twice, you can't remove artifacts a second time. So the first principle is: document everything, and destroy as little as you can. The second principle is that you must proceed with respect for the living Maya, who may well regard this adventure as a violation of a holy site of their ancestors.