I think to get hired as a Safety Engineer you're going to need a BA at least. Fortunately there is a lot of safety credits available online now.
That said, I didn't
have a safety degree and I used to handle safety at the largest pine mill in NYS, possibly the northeast. I was offered the position after I had already proven myself working clean up at the mill. (It was a BIG job. My dust pan was a Cat 930 bucket loader and my trash can was a IH dump truck.)
I'm suggesting you get any job available in a firearms manufacturer, and then make yourself indispensable to management for the required safety inspections and/or safety committee meanings and whatnot.
Don't limit yourself to a manufacturing company.
Keep in mind if you're working for a manufacturer, you're usually considered an 'expense' until you bring the LWDI down, if you can bring the LWDI down.
If you're working for an insurance company, or the state labor department, you're a 'capital generator'. I don't know if a Safety AAS would get you in these doors, but the same tactics as above could work.
Become the 'expert'.
Consider writing some safety articles for a firearm or small manufacturing trade magazine. Focus on how specific safety management techniques can reduce insurance premiums and limit losses from injured workers & lost productivity. It would likly be published by an association and won't pay much if anything, but the editorial bar will probably be low and you won't have to do any original research. Just regurgitate some safety principles you learned in school and make sure it's in English. Small magazines are usually happy to have a source of copy to separate the ads. It may or may get you a name, but a couple of published safety articles included with your CV will make you stand out from the others.
I would suggest you become a member of the American Society of Safety Engineers.
The Board of Certified Safety Professionals has a category for AAS holders, but you have to have some safety work experience before you can sit for the test.
These will get you initials behind your name. Initials are good. People love initials.
Luck is what happens when preparation meets opportunity.
You've prepared, now let opportunity become aware you're around.