Kyrgyzstan or Tajikistan Airports
Given the possibility of a flight to the North towards Khazakstan, I note there are 86 functional airports in Kyrgyzstan and considerably more abandoned ones.
Kyrgyzstan borders Xinjiang in China. An alternative would be in Tajikistan which also borders Xinjiang.
Flights to either State can be made without crossing Chinese airspace, especially if the inwards vector is from around the Andaman Islands.