Sorry husband then i did not check your profile will you still have custody after you divorce? Will he be willing to sign on the papers for you? When you divorce you have to make an agreement who will have custody.
Do you have full custody if not the wife need to sign the documents and in some cases even with full custody she still need to sign the papers it is up to the officer. Yes you can be a sponsor of the child.
I am aware of the them but they say wife not children last time i looked two weeks ago. I sent them an email asked about this 3 month ago never reply. Hence my question if someone do already
Go talk to immigration in Bangkok or where you normally land explain that you use Thailand as a hub, They can write in your passport to other officers to see also in the computer.