This is my idea, I trust our military experts can correct any mistakes I have made. I don't claim to be a general, and in this situation I would want my men and their "hostage" families at home (including my own) to survive the war.
Arrange for a prearranged complete internal communications blackout to start with a prearranged signal to hand picked, preselected and trusted units, the assasination of all loyal political commizars would be carried out as soon as the order was given - to prevent any info from reaching your HQ. Prior to the engagement, negotiate and coordinate with the Coalation commander in secret to have a disinformation campaign feed to the media, describing a tremendous fight to the death, while secretly arranging for your forces to be captured with little resistance (some lower level commanders might not cooperate and put up a fight, but with some "supply problems", this could be reduced). The purpose being to prevent your high command from punishing the families of the commanders and troops. Your HQ needs to believe you are all dying in battle (your field HQ was completely wiped out, communications were cut and jammed - both occured immediately, the US had secret weapons, and additional divisions and assests that mowed down your divisions. Though the divisions put up a ferrocious fight and took a substantial but believable toll on the attackers), they were unable to reach HQ with any comms. While your HQ is convinced that your forces are putting up a galliant fight for Sadam, with the media announcing significant losses for the coalition. In fact your divisions are being secretly being disarmed and interred incommunicado, in a hidden, highly secure location with very comfortable POW accomodations and healthcare (fix their teeth, let them worship (provide coalition clerics), offer classes in English or general studies and give them plenty of good food - perhaps offering confidential financial "resettlement" incentives to those who are interested), outside prying eyes. It will be necessary to arrange a global satellite blackout of the battlefield. Use a very secure desert camp, with several no man's land perimeters in depth, to avoid any escapes or information leaks, use only carefully vetted hand picked US soldiers to guard them. It shouldn't take too long before the safety of your troop's and your own families can be secured.