Military spouses are left behind with children all the time, and we manage. If your wife willingly said yes without pressure from you, then go hike. Just have a good conversation with her about her expectations for your absence, and how things that you normally handle around the house will be taken care of while you're away. Have a set interval that you will call her every few days, and at which time she has the power to say "Come home" and you will do it without question and without complaint.
There's no reason you can't do this if you're both willingly on board with cooperating. Only you know the dynamics of your relationship, so only you and your wife can decide if this will work.