Check out the royal villas and mountaintop temple views at Doi Tung, you can hire a car with driver for about B1600 for the day, plus fuel, and you go where you want to go.
Visit Thailand's northernmost town at Mae Sai and pop across the border to Tachileik, Myanmar no visa needed
Go north-east to the Golden Triangle, where Laos, Myanmar and Thailand meet, and formerly a major opium-growing region
Go east to Chiang Khong and cross the Mekong to Huay Xai, Laos
Go south to Chiang Mai