For more information on the Navajo wedding ceremony, see this article from The Gallup Independent.
Here is a great artistic portrayal of a Navajo wedding, by Alfredo Rodriguez (First People):
This is a picture of the wedding basket. The story of its meaning and history can be found at Navajo Crafts.
Here is a Navajo wedding vase. There seem to be some variations on how it is used in the ceremony. See a description at about.com.
Something like this is what I had in mind for Mulder and Scully's rings :
I am basing my description of the hogan on this website. It seems that some hogans today are still pretty rustic, while others just follow the traditional construction yet are filled with modern amenities.