Day 1: Arrive @5.30pm. Take Freego bus to taipei. Reach taipei ~7pm. check-in hotel. Walk ard XiMenTing / go shilin night mkt. Remember to get the "ezlink" card in MRT station for ease of travel thru'out stay in taipei. Tonight can be late nite
Day 2: Take 9am train to hualien. Reach ~11:30pm. Book minsu "shitou" hse. Owner will pick u up from train station. Reach her hse and hv lunch. Set off 1pm, (rent scooter?) and go taroko gouge. spend 3-4hrs slowly touring there. evening time (b4 sunset) get back to hualien. Go to night mkt / see local performance if any. At nite, talk to minsu lady abt next day plan
Day 3: Taroko is north of hualien. Today head south of hualien. Follow minsu lady's recommendation. Again, remember to head back hualien b4 sunset. or earlier if bored. if earlier, can go hualien cycling path & enjoy beautiful pacific ocean. after nite falls, visit there "triangle" area. lots of food & shopping!
Day 4: Take early train back to taipei. Afternoon visit Yeliu & Jiufen.
Day 5: Take very early train to Chiayi. Catch 11 (or is it 11:30) or 1pm bus to alishan. Reaching alishan just go tour the alishan national park area
Day 6: Next morning go see sunrise and then transport all the way back taipei (can catch 9am bus to chiayi). Arrive taipei late afternoon, visit taipei 101. At nite go shilin or if done tht liao, visit the other night mkts like huaxi night mkt
Day 7: YangMingShan, Beitou Hot Spring, DanShui
Day 8: LongShan Temple, Marmara Ferry Wheel. Go airport. I think the ferry wheel can also visit in day 6. otherwise, i dun find this worth visiting anyway.