I'd second JimSmith's analysis. You can really crank for quite a while without doing damage. I recently blew my 80 amp glow plug fuse and had to start the car cold. I cranked non stop for 2 60 second periods with only a 1 min cooldown (for the starter) in between. The battery easily handled it and I've had no problems with the starter. (by the way the car started in 45 degree weather) So before you do anything else, crank away to see if you can get all the air out. It should eventually catch. Good luck.

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LRG
1987 300D Turbo 175K
2006 Toyota Prius, efficent but no soul
1985 300 TDT(130K miles of trouble free motoring)now sold