what is the best, also fastest way to get to Shantou Haiyi Panorama Hotel from the Airport(SWA)

The best and fastest way is to take a taxi. The fare may be around CNY100-120. The trip takes about 40-50 minutes.

Or, you may take shuttle bus ST East Line to the terminus: Golden Gulf Hotel. The fare is CNY20, and the trip takes about 70 minutes. Then, take a taxi to the hotel for about CNY10.