They're not likely to let some one who hasn't served the time loose on their lads

You may be good but if they don't have confidence in you and you have no peices of paper/references/experience you can talk about etc they're not gonna risk hurting your feelings over one of their lad's getting their achille/hamstring snapped... not saying that's what would happen but its a case of risk vs reward...

Serve your time, get some experience doing what ever you can and then focus on where specificly you want to work in.