As has been mentioned many times in this thread it seems doable tho not recommended.
Think of the group of vehicles behind you...there is no place for them to pass until you get to the pump house.
Beyond whether your "truck" can do it is can "you" handle it. Now don't take this the wrong way, I do not know you or your level of experience dealing with very narrow exposed shelf roads where a mistake will land you 2k feet lower than where you goofed up. BB is a psychological trail, when you do your multi point turns in that long truck your front tires will RIGHT ON THE EDGE OF THE CLIFF...not two feet back from it. You will look out over your hood and and you will see exactly what a pilot sees, lots of air and the land way below. It's one thing to drive a narrow trail with trees on the side to give you a safety net (both physically and psychologically) BB doesn't have that. When you, or your passenger, looks out the window it is straight down. It really messes with peoples minds. Now even if you are OK doing it are your passengers going to be OK with it? I have seen passengers totally loose their minds on Mt Antero and it's not as narrow as BB but the results are pretty much the same..and when I say loose there minds they were almost hysterical and hyperventilating If you go over the edge you are pretty much dead. The videos are great but give you no idea of what it really feels like to be on it. you MUST know where you tires on the downhill side are at all times...if you don't and get distracted for an instant it could be lights out.
I don't say this to be degrading in any way but it can be serious. Think about it this way. If you could get you truck on top of a building would you feel comfortable putting one tire right up to the edge while you are making a multi-point turn. Would you be comfortable driving around the perimeter of the building with your passenger tires with-in two feet of the edge?
Since you are going to be much slower I would suggest a weekday when the trail isn't as busy.
Darrell