Are there nonstop flights from Guiyang (KWE) to Taipei (TPE)?

Yes. China Southern Airlines fly this route. Flight time is about 2h 13m.

What is the fastest connection from Guiyang (KWE) to Taipei (TPE)?

via Fuzhou ≈ 2h 44m, via Xiamen ≈ 2h 45m, via Guangzhou ≈ 2h 50m (estimated flying time, excluding layovers).

from 10,000 ANA miles, from 15,000 JAL miles (economy, one way, based on the published award charts).

Guiyang Longdongbao International Airport (KWE) to Taiwan Taoyuan International Airport (TPE)・1,453 km

Nonstop flights available (1 airline). Flight time about 2h 13m. Nonstop return flights also operate.

With milesANA 10,000 miles+ (via SZX)JAL 15,000 miles+ (via WUH)Economy, one way, estimate. Tap a connection for miles by cabin.

15 one-stop options, sorted by estimated flying time. Tap one to see the airlines on each leg and booking links.

Times are estimated from distance. Check schedules, frequency and availability with the airline or a booking site.