Mate,
You're dreaming if you think you'll get a jet job with minimums. The only ones that do are part of the 'boys club' or cadets.
I was a turboprop skipper with 7 years in the game before I got a look in. Most guys I know getting in are turboprop skippers with at Least 3000 hours.
Also the piston multi jobs are generally client requirements. It's pretty hard to get 500 multi these days with most requiring 500 multi to begin with. That leaves scenic shuttle type work or multi engine instructing to build time.
It's a slippery slope no matter where you are.
Enjoy the journey.