If you can keep a flying job and work the ramp at FedEx at the same time, it might be worth a shot. If you meet the minimum requirements for a pilot position at FedEx, you will be eligible for an interview after working as a handler for a minimum of one year. I know of some folks who got in this way. The key is meeting the mins and getting a year of service under your belt. The only drawbacks are you have to keep flying. Recency of experience is very important for FedEx. Also, you have to keep your nose clean at your handler job with FedEx. When you go to interview for the pilot position, you need to have a supervisor who will give you a good recommendation.
FedEx is definitely a good place to shoot for. They have excellent stability in a very volatile industry. Good luck!