information about visa requirements for transiting in Beijing

I am a US citizen. My husband and I have a layover in Beijing for 98 hrs on our way to Thailand. Can I use the 72 hr free transit for that? Do I obtain that when I land or before I leave.
My husband is a Green Card holder with a Dominican Republic Passport, I assume we have to apply for his at the consulate prior, correct?
All of the information is very confusing, and I have tried to call the embassy multiple times and no one answers or the line is busy. Thank you so much for your help!