I've spent a lot of time in the past ten plus years in Asia and played golf in many places.
The main thing to decide is if you are traveling to Asia to visit a country and partake of a cultural experience or you are going on a golf trip with the other concern less important. Two weeks is a short trip.
Here are places I have played golf, with some comments.
Japan - am currently on my 11th trip, played golf on three trips, hard to access tee times and logistically difficult for golf. My interest in landscaping and gardening takes precedence over golf.
Hainan Island - spent a few days at Mission Hills in 2012, Curley-Schmidt built 12 courses, two very good, other two I played were decent, China has no real golf culture is main drawback.
Singspore - has some good golf courses, small city state with much non-golf ambiance, direct flights on Singapore Air, connects to Thailand and Vietnam, have been there four times, golf once.
Hong Kong - have stopped over for varying lengths of time on 20 occasions, playing Clearwater Bay and Discovery Bay quite a bit, logistically difficult, expensive taxis, I used MTR and commuter ferry, good stopover in past on way to Thailand and VN. Was there during student protests in 2019, ambivalent about going back.
Thailand - have been there three times, Hua Hin, Chiang Mai, and Pattaya have best golf, Golf Asian is full service golf travel, don't try do it yourself
Vietnam - golf trip to Danang in 2016, smaller city with good cultural experience, Golf Asian can arrange golf, shuttles, day trips with driver as tour guide to Hue, My Son, and Hoi An.
Charles Lund