Hello Rachel,
Checkout these links: Taipei European School: www.taipeieuropeanschool.com
Yang Ming Shan Christian School (Taipei): www.ymscs.com
National Experimental High School: http://web.nehs.hc.edu.tw
Taipei American School: www.tas.edu.tw
Morrison Academy, Kaohsiung Campus: www.mca.org.tw/MAK/homepage.htm
Dominican International School (Taipei): www.dishs.tp.edu.tw
Kaosiung American School: www.kas.kh.edu.tw
I think the above list should get you going in the right direction. Drop them an email and they may even be able to recommend something in the area you will be.