There is a gag relex. NPA was inserted by Fire, although I obviously agree that NPA's and trauma to the Head do not really mix.
Right. Facial trauma is a major contraindication for an NPA, and a gag reflex is a contraindication for an OPA. But didn't you say you had a medic there? If so, with a GCS of 3, they should probably be tubing. As an EMT-B in a state that doesn't allow any other airway adjuncts, I'd be a bit screwed here, but that being said...
Initial vitals: HR 122, RR 28 and regular, BP 120/P (*see below), Sinus on the monitor, GCS 3 (but does have a gag reflex), SpO2 90% on 15lpm via NR.
Respirations are 28. Patient's O2 saturation is low. Obviously, despite the "regular" breathing, he is not breathing adequately and needs to be ventilated. Someone should be bagging him. Given the facial trauma, I'm thinking suction would likewise be in order.
In terms of the transport decision, this patient has a significant MOI for transport to a trauma center. If you're in a rural area, that may mean a bird, but if they're not flying, then it has to be by ambulance. Once the fire department manages to get him disentangled, it's rapid take down onto a backboard and into the ambulance.
The only caveat I'd add is that given the length of the extracation (you said 15 minutes? For the FD to get there, or to get him out?) if he starts to crap out, I'd divert to the closest hospital to get him stable, depending on local protocols. Shock is going to be a major issue here, so ALS being along would be a good thing, otherwise it's high-flow O2, trandelenberg, transport.