actually my understanding is the opposite, but maybe because my impression was from the time before e-visas, where your passport was kept by the embassy for physical endorsement, and thus you couldn't travel anywhere that needed your passport as ID to travel.
for rain you can try Koh Samui, Koh Phangan, or Koh Tao. But I would not recommend it because the storms are really intense and the ferry ride might be tough.