Natural stone, such as granite, countertops are definately a much less maintenance free option. They are heat resistant, scratch resistant, and stain resistant. They also add value to your home. You simply clean them with a stone cleaner ONLY. It comes in a spray bottle--spray it on and wipe it off with a paper towel. You also have to seal it about once every two years. Pour the sealer on your countertop and wipe it in; then leave it to sit overnight. The next morning, clean the countertop off with your stone cleaner. That's it!

Wooden countertops, while beautiful, show wear easily. If your fiance does not like the shiny look of granite, consider a granite with a different finish--honed, flamed/brushed, or leathered. There are so many options!

Check out your local slab gallery for ideas.

I agree with going with natural stone for relatively lower maintenance. Here is a neat example with a custom wood butcher block type overlaying on top of solid countertop so it would be easier to replace when needed.