If you want to work for a major, I would suggest avoiding the ramp job and trying for something in safety, or training. Something that looks good on your resume, something involving the flight operations side of the business directly and something that makes you appear smart.

FedEx, or UPS, is a little different deal since they do employees preferential interviews. Delta and some of the other majors do not. There are several Delta pilots who had to leave and fly at ASA in order to make the transition from ground job to Flight Ops.