if PL33 were to send a letter like that trying to find a sponsor, it would go in the garbage can.
You have to be kidding!!! Those are the kind you save.
Hey Penguin - why don't you and a buddy film some hunts, edit them, narrate them with as much excitement as you can and submit them. That might get you some exposure. Even if they don't pay you at first, just them taking an interest would be a great start.
If they get back to you, with an offer or not, offer to help out with anything and everything for free.
The line for dream jobs is a long one. You need some kind of way to the front.
It's definitely a long shot, but you never know until you try.
Oh yeah, as you are young, maybe angle your hunting videos towards the youth. That maybe a niche the companies would like to fill. Especially with declining hunter recruitment.