I was born in Gunungkidul, the most remote area of Jogjakarta. It lies in south east Jogja. While it is true that it is a dry region, Gunungkidul has so many beautiful tourism spot.
Gunungkidul is known for its beautiful beaches and caves. There are hundreds of beach and cave there. Even though you can not surf in it, it provide you amazing scenery.
The government has built sufficient infrastructures to support the tourism. The roads toward the tourism area are so smooth. More over, like another Jogja area, the people are very polite and kind and the price is also quite cheap.
Finally, if you visited Gunungkidul caves, Jombang and Grubug for example, you would experience in viewing amazing view of underground rivers.