what is my best option from macau airport then go to fraser hotel in guangzhou?

Do you refer to Fraser Suites? If yes, you can take airport shuttle bus to get to Gongbei Port. Pass it and enter Zhuhai first. There are several coaches that can take you to Guangzhou Guangyuan Bus Station. The schedules are 06:40, 07:15, 09:05, 10:15, 10:45, 12:25, 13:15, 13:45, 14:55 and 15:35. After arriving, take a taxi to the hotel directly. You need two cabs. For one, the cab fare is about CNY 40 in the day time.