Well, there is one problem as I see it.
The SETU-exam is pretty much like the Chuunin-exam in the original series, but on steroids. There is a set amount of teams that can make it, and everyone in the team is among the best of their respective village's Chuunin population. It's a life or death exam set in the forest of death, the most lethal place in the Fire country.
Now remember the situation our main cast is in, fighting for their life with one down already, one seriously hurt.
If someone from another (enemy) team would drop in somewhere here, how high are the chances of them saying "Yeah, let's talk to this guy in a friendly manner"?
If we would drop your character in there I'm afraid you'd pretty much be attacked and killed before you'd have a chance to say "Hey, I heard a leg snap in this direction and would like to offer my services as a medic. By the way, have you seen any pieces of my team mate falling down around here?"
Personally, I wouldn't risk it.