If you need a stay in Hana ypur choices for a budget friendly place are limited. We stayed in this apartment and it was a very nice stay. Make sure to inspect the pots and other dishes before you use them. I liked the outside shower and the huge comfortable bed. The TV is also nice to stream in the evening.
Definitely make sure to make screenshots of the check-in info before you go to the Road to Hana, there is nearly no service on the road.