Moonsick, I really feel for you I have been in this situation unfortunately twice, once in SE Asia.
What type of hospital is your DH in? Local, private? Do you know if your insurance has a translation service so you can speak to the hospital to get more details.
Get back in touch with his employer, they should have insurance for their employees to travel for work, or have say your mother/friend to talk to them so no details are missed, I cannot understand how they say hes not covered by them. But when your ill, you miss things that are said.
If you know the name of the insurance company could you let us know who they are (some are better to deal with than others).
Hope it will be today your own insurance company will come back to you and have better details of whats going to happen, in the mean time try and have a plan for the children to be looked after if you do have to fly over and prepare yourself for that.
At the moment thats all you can do until you get further information, facilities in Jataka are very good.
I really know how your feeling right now, but your doing all you can and Im sure your DH knows this and its a comfort to him, but I know you just feel useless and want to get on the first plane out, but just wait a little longer for more solid info and the insurance company will guide you in the best way forward, they do this all the time.
Thinking of you OP, sorry that post was a bit disjointed