Just another thought that I havent seen thrown out yet. Get the CFI, get to work and that can help you network into other flying work. I have gotten invaluable experience from my flight instructing days. I do agree that if the airlines is where your heart lies go ahead get into the pool. Then while you are instructing take any chance you can to get extra flying. In corporate flying the first thing all of the PT91 captains I know do when they need a contract guy and one of their regulars are not availible is look for a CFI. Trust me there are a bunch of heavy iron corporate guys out there who remember where they came from and are more than happy to give you a hand up. Also as on this forum some of the best networking is the other CFI's who you work with.

Good Luck