I archery hunted 16E ~7 years ago, so I'm not overly familiar with it. I don't think Whitewater-Baldy got anywhere near where you would be hunting. Below is a link that is clearly outdated now, but it has the last fire map posted and the fire pretty much burned within that perimeter. I've heard most people either hunt Pelona Mtn or Luera Peak. Quite a bit of private land in that unit. Those ranchers are pretty protective of their land but might be willing to let a youth hunter fill his tag (one less elk for them to feed). I also attached a link to the Landowner tag list that has contact info for all landowners who got tags (including 16E ranchers). We camped right off 163 (unit border) southeast of Pelona and hunted the pinon/juniper that leads into the San Augustine Plains. Have no idea what idea where the elk would be in December. Good luck.
http://inciweb.org/incident/2870/
http://www.wildlife.state.nm.us/recr...ug%202012).pdf