Dont know if this was brought up already so I apologize if it was.
You take the halligan, break open the grill, most are plastic and go easily, this exposes the radiator and the hood latch cable connected to it. Using the fork, put the latch cable in it and twist away from the latch, this will open it.
I agree about the Monkey/football comment though, it gets embarrassing watching someone swinging an axe or halligan like you were swatting a fly, and bending this and twisting that...Stop for 2 seconds and think about the mechanics of how the latch works, use that to open it. Sometimes its more of a mind over matter thing and brawn or brute strength will not help you, if you cant find the cable or it wont work (its broken), than you go after the hinges of the hood under the windshield, either with a handheld hacksaw, air chisel, or porta-power. Take the hinges and remove the hood.
Another way is to go up through the wheel well, remove the plastic covering and you expose the engine compartment and hopefully the battery. You have to still be carefull though because air bags usualy have their own power packs and are still able to go off if you hit them. Just be cautious and carefull, move slowly and watch what you come in contact with, only have EMS in the vehicle with proper PPE and limit who enters the car, watch for Hybrid battery assemblies and other "Unknowns" in the trunk. Even if you do disconnect the battery always assume its still live.
Sometimes leaving the battery alone helps too, if you need more room and the seats are electric it helps to just use the buttons to move the seat back, without the battery you create a lot more work to move that seat. Sizeup every call and act accordingly.
If the door was pinned but the window intact.. why not tape up the window, pop it with a punch, remove the window reach in and pull the hood release?
Why do we compicate things?