Trojan horse it. I would apply for cadet roles with everyone who takes cadets. Then I would sanitise my CV and apply for non-flying jobs with everyone who takes cadets (You still need a job right? Might as well put that degree to good use). You'll have lost nothing, gained a job with an airline staff number and airline name for your CV. If one of the other jobs works out, great. If not you'll stand a decent chance of getting onto the cadet scheme from within.