Arizona and Hawai'i don't go on summer (daylight savings) time, primarily for astronomical and economic reasons having little to do with golf courses. Arizona, for instance, is economically linked to neighboring California, which is one time zone to the west. Hawai'i is at such a low latitude that there isn't much summer-winter variation in day length.
Indiana used to make DST a local option, so suburban counties near Chicago could match its time, while downstate farming counties could stay with something closer to mean solar time. In 2006, they switched to everyone following DST, but placed some counties in the northwest (Chicago suburbs) and southwest parts of the state in the Central time zone.
Oh, and the huge Navajo reservation in northeastern Arizona (as well as parts of New Mexico and Utah) does observe DST.
It's a big country,