Here is a web site that might be helpful. http://hotelguides.com/colorado/map-durango-co-hotels.html
Or go to googlemaps, zoom in on the area you are interested in and search for motels. It will show you what is around there.
It has been quite a few years since I stayed there and I do not remember where we stayed.
We always stay at the Red Lion in Durango. It's a bit spendy, but quit nice. Especially if you ask for a room on the river side. Durango is a bit pricey in general although I'm sure there are cheaper places.
Cortez Colorado is 45 miles west of Durango and in a whole 'nother ballpark cost-wise (cheaper). I stayed at the Holiday Inn Express there a couple of years back. Good price and very comfortable. Lot's of Goldwings in the parking lot.