I had a buddy of mine get on with Atlas as a F/E with about as many hours as you hold, the FAA allows 500 hrs of F/E time to be applied towards ATP Mins. Him and his buddy got ahold of an old twin and flew the snot out of it to get the rest of the time to make ATP minimums.
Are your regulatory minimums the same? Can you apply F/E time to ATP minimums like the FAA allows. I would seriously consider looking for a fly by night outfit to get the F/E time out of if it helps.