Thanks for the vote of confidence in being willing to share your plans for yourself and your family with us on the 'fire. I'm sure your unit will feel the loss of a fine NCO, but your family has to come first, and you've already been very generous! I hope you'll be able to get into that non-deployable unit, but the GI Bill (which I'm using as we speak) is a wonderful benefit and you should definitely take advantage of it no matter what you decide to do!
"And the Word became flesh, and dwelt among us." Jn 1:14
"The expense is reckoned, the enterprise is begun; it is of God; it cannot be withstood. So the faith was planted: So it must be restored." -St. Edmund Campion (+1581)
I hope you'll be able to get into that non-deployable unit, but the GI Bill (which I'm using as we speak) is a wonderful benefit and you should definitely take advantage of it no matter what you decide to do! 
