Mother to court-martial or Afghanistan; her child into custody

A number of groups are unhappy that Major Hasan has not been charged under Article 119a, UCMJ, yet for his killing of a pregnant mother and her fetus at Fort Hood.  (See e.g. Pro-Life Group Asks Military to Charge Hasan)  So far his court-martial charges are all the 118’s.  One of the other issues that’s been discussed with Major Hasan is whether he tried to avoid going to deployment or asked to be discharged.  Elsewhere, IPSnews.com reports:

U.S. Army Specialist Alexis Hutchinson, a single mother, is being threatened with a military court-martial if she does not agree to deploy to Afghanistan, despite having been told she would be granted extra time to find someone to care for her 11-month-old son while she is overseas.
Hutchinson, of Oakland, California, is currently being confined at Hunter Army Airfield near Savannah, Georgia, after being arrested. Her son was placed into a county foster care system.

So, how hard is it to avoid deployment without going AWOL?