Hi Marian,
I am not sure where to send you for that. Pergolas are typically more traditional. However if you were to make the columns simple, I would think you would achieve a more contemporary look.
Travertine can certainly be used with what you have in mind. Have you considered travertine pavers instead of travertine tile? They are beautiful, very thick and can also be dry laid as opposed to laid in concrete.
This is a much easier installation, less expensive, and very forgiving. By forgiving I mean that if by chance the travertine pavers ever move, they can be easily picked up and re-adjusted. When travertine tile is set in concrete with concrete grout, there is always a chance of the concrete cracking over time. I am not saying this will occur, just that it is possible.
I don't know what else is in your landscape or what type of siding is on your house (or color), so it's difficult to recommend any travertine pattern (whether tile or pavers) or color. If you go to the Andes Collection website, you will see many travertine paver choices.
