OP, I have driven the Taos to Angel Fire stretch of 64 dozens of times in all sorts of weather {we he have friends who have a beautiful home in AF and we visit several times a year}. I am guessing your rig is easily 60'.
Do everyone a favor and disconnect your Tahoe Toad at the top of the grade {there is plenty of room to do so in a large parking area on your left} and have someone else drive it separately before starting your final descent down into Angel Fire. The last few miles after you top out and start your descent into AF are VERY tight/twisty and it will be impossible to keep 60' of rig in your narrow single lane.
Anyone coming up and out of AF that encounters you coming down will be screwed if you are a single foot over the double yellow {there is no, zip, nada shoulder for most off the descent}. As the descending vehicle you will NOT have the right of way and would have to back up {which we all know is virtually impossibl with the Toad connected} until the ascending vehicle can gain clearance and you can get your rig back in your lane. Double yellow lines are inviolate.
I have encountered rigs much smaller than the OP's 2- 4'over the double yellow several times. When I was on my motorcycle I got by OK but climbing out of AF in our 24' Class C towing a 10 cargo trailer {37' overall} it was a whole different event as I needed ALL of my lane.
You will see lots of very large rigs in the Angel Fire RV Resort {a very nice facility BTW} but I can assure you a lot of them were way over the double yellow coming down and just got very
lucky.
:S