The Thing is lying on top of Hawk, and you’re two hexes from the no-mana room.
The Thing is of similar weight and strength to Hawk, and is fighting furiously. If you’re thinking of throwing/dragging it into the antimagic room, it would take a great deal of effort over at least two rounds of combat.
Movement while downed:
You can crawl or roll one hex per turn so long as you aren’t grappled. Or you can spend one turn getting to your knees, then another turn getting to your feet. Getting to your knees takes all of your activity for the turn (you can still defend), but you can attack while rising to your feet from your knees.