It is an acceptable Chinese name. As you can see from the examples below there are people in China who carry such name. Go by this name =)
Zhai Xiaochuan (Chinese: 翟晓川); born March 24, 1993) is a Chinese professional basketball player. He currently plays for the Beijing Ducks of the Chinese
Zhou Xiaochuan (Chinese: 周小川; pinyin: Zhōu Xiǎochuān) (born January 29, 1948) is a Chinese economist, banker, reformist and bureaucrat.
Wang Xiaochuan (Chinese: 王小川; pinyin: Wáng Xiǎochuān; born October 3, 1978) is a Chinese computer programmer and Internet entrepreneur. He is the founder...