Any opportunities for a former E-3 wanting to work in the private sector as a contractor?

What is "wantung"? Are you asking for a job...Or our views on the hypothetical question of a A1C getting a job if he/she tried to get one?

Don't know if this is the right venue for that, but do you have college... Did you get kicked out or did you ETS...What certifications do you have if any...Have you ever been in a leadership position.
BLUF: Most business' that hire peeps want people who can play a symphony... Not some one who can play one note over and over... SSG, What does that mean?.....That means you need to be able to do a lot of stuff well... Being able to to one thing well might not get you there.
I hope this helps...If not I am sure I will hear why it does not...

Not with that grammar.

There is a website for people wanting PMC positions. It's called ShooterJobs.Com. The people they are looking for are mostly previous combat arms, law enforcement, armed security, etc. So if you don't have any experience in firearms and/or security, you likely won't get too much traction there.

Search out contracting jobs in the Middle East. I know of several companies that typically have need of armed security in the M.E. Be aware though, those jobs are the real deal, where your opponents are not rioting thugs, but experienced, hardcore terrorists who will kill you without a second thought.