Update iPad 3 iOS 5.1.1 to 7.0.4 not 7.1? I have iPad 3 iOS 5.1.1 Jailbroken.

I now want to update to 7.0.4 or 7.0.6 but can NOT figure out how. (7.1.1 is currently the official update)

Manual updates thru iTunes to a 7.0.6 restore file always result in "This device isn't eligible" error despite hosts editing. I've tried on multiple computers.

Am I hosed?
Actually you can't update iOS devices to old versions.