The fastest way to Telluride from Durango is definitely 160 West to Mancos. right at the (only) light to 184 to Dolores, then right again at the stop sign onto 145, up and over Lizard Head and on to Telluride.
The gas station in Mancos now has 24 hour pumps. Liquor World in Durango has a wonderful selection, open until 11 I think, and if you are over 55 you get a senior discount on your booze. At least some good things come from being an old fart! If you have kids I doubt you would want to stop at the brewpub, and they are not open on Monday I believe. Can't remember what day you said you are driving.
As far as your non-refundable room, perhaps you could rent it out over this forum and stay somewhere in between, maybe Durango, then be able to make the drive the next morning and actually see the scenery. good luck I live in the area so you can sent me a PM if you need specific info.