Indonesia
A country of thousands of islands means a long trip never runs out of somewhere new. For US, UK and EU passport holders, a visa on arrival currently costs 500,000 rupiah (a rise has been proposed), and Bali adds a separate 150,000 rupiah tourist levy, so budget both before landing.
Bali gets the attention, but the money goes further on Java, where trains link Jakarta, Yogyakarta and the volcano country around Bromo, and on Lombok and Flores, where simple homestays and warungs serving nasi campur keep daily costs low. Ferries and domestic flights make island hopping affordable, so a month can take in temples, rice terraces, reefs and Komodo's dragons without a tour.
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