Thank you Ma'am
I understand your frustration. In cases where the government is clearly at fault, due to negligence, it can seem that VA compensation is not sufficient.
The problem you face is twofold.
First, in order to sue the US Government, you must comply with the requirements of the Federal Tort Claims Act (FTCA). Since the federal government claims sovereign immunity, they are allowed to "set the rules" for how one can sue them. And the federal government has enacted the FTCA to set the rules. If you want to sue the federal government, including the military, you must follow the FTCA. And one of the rules of the FTCA is that the lawsuit must be filed within 2 years of the incident. Since this happened over 10 years ago, it is too late to sue.
The second problem you face is the so called "Feres doctrine
This comes from the Supreme Court case of Feres v US, in which the Supreme Court held that a veteran is not able to sue the federal government under the FTCA for incidents that happen while on active duty. The veterans sole recourse will be the VA claims process.
I am sorry to have to bear bad news Ma'am, but it is not possible for you to sue the military.
Please let me know if you have more questions...happy to assist if I can