Given production contract shows are the holy grail of shows, there are no "easy" ways in. Most PSMs hire SMs and ASMs they know - it's people they know.
Right now, I know a couple of PSMs who are are putting together teams - but most AEA SM's who have never done a tour, tend to be hired as PA's until the break into the inner circle.
I think it's all about who you know, luck, being in the right place at the right time - there is no one way to get those types of job you want.