Its not always easy to move on when you get some jet hours. I have 2500 total a full ATPL and 1000 on jet (Falcon 20). I would love to move to the airlines but not a sniff, why? beacause I dont have a Boeing or Airbus rating. There is still a great element of who you know and being in the right place in the pile of cv's.
So keep flying whatever you can and one day you will get to FL360.