Sun exposure causes damage whether or not you burn easily or just tan painlessly. Remember that the appearance of a tan is a protective mechanism that appears after sun exposure to protect the undelying basement cells. Don't be fooled there is no such thing as a healthy tan. UVA/UVB rays are radiation and we all know that radiation is a cumulative insult.
So protect yourself now and reap the benefits later in life.
I own two tilley hats that have been well used.

Cheers,
Mike