Ferry Boat transportation from Surigao City (where the airport is) is 150 Pesos per person.
Bike transportation from sta monica,siargao to Danjug is 150 pesos.
It takes 4 hours by boat from Surigao City to Sta Monica, Siargao Island.
It takes 15 minutes from Sta Monica to Danjug.
Itinerary will look like this:
Manila - Butuan City by air
Butuan City - Surigao City by land
Surigao City - Sta Monica by sea
Sta Monica - Danjug Island by land