Recently came back from a quick trip to Taiwan and this is a short guide of how to speedrun things if you're short of time. For disclosure, this trip from the Philippines costed around USD 1000 per person for two people. Things may become cheaper or more expensive depending on when and where you book your flights and accommodation, and what food you eat. Mine was relatively more expensive given that this was a last minute trip with booking decided less than a month prior to departure on peak season.
Recommendations before going to Taipei: