The Taipei routing
Taipei to Paro is one-stop. We recommend China Airlines TPE–BKK with Drukair BKK–PBH the following morning (the Bangkok hub experience is excellent), or EVA Air TPE–HKG with Drukair HKG–PBH (slightly shorter; the Hong Kong hub is also good). The hub overnight is your booking on your terms; we recommend, brief, and coordinate timing for the Drukair morning.