From Kayenta, drive north on 163 to Monument Valley Navajo Tribal Park.
I went in the autumn and had lots of dust. Don't know if another time of year would be better.
"The View" (Hotel and restaurant) offers a view of this movie famous rock structure. Monument Valley is one of my favorite places. Perhaps because of the wonderful Navajo people I met there who were so willing and excited to share their home land with me. After a day on the road, this table was my hang out over a large glass of lemonade as the sun set and the dust laid.