Is there direct Metro to Haily Binya Resort from Changshui Airport?

No, the closest metro station is Fude, which is around 5km from ur hotel, and if by subway, you need to transfer for twice. I suggest you take shuttle bus line 2 to Jinjiang Hotel (Main Railway Station), then transfer to bus no. 32 or 260. Get off at Zhangmiaocun and your hotel will be within 500yd away.