OP, I was in a similar situation as you with BEC when I took it earlier this month (and found out a couple days ago that I passed with an 83!). I had very limited time to study as well, and I exclusively used Becker. I took FAR on Oct 13th and then took BEC on Nov. 4. That's a little less than 3 weeks; however, by the time I actually started studying for BEC, it was only a little more than 2 weeks total study time.
I also work full time and the week before my exam (from October 25th through October 30th) , I had to go out of town for a week-long annual conference with my job. Needless to say, when I returned home on October 30th, I was only half way finished with Chapter 3, and I had 4 days left. I studied as hard as I possibly could those 4 days (except Monday, when I worked half a day and used PTO the remainder of the day and all day on Tuesday; sat on Wednesday, with PTO).
So it sounds like you may be a little bit behind my pace, but if you focus really hard until test time (not sure if you are celebrating Thanksgiving with family or not), I think you can have a chance. I would definitely focus on Chapters 1-3 and ensuring you understand them: Cost Accounting, Financial Management, Variable Costing, etc.
COSO on Chapter 1 is important. Be sure to know COSO well; internal control, enterprise risk management. I didn't get particularly difficult questions on these, all conceptual-type questions, but you need to know them.
The good news is once you get past Chapter 3, the rest of the chapters go a lot faster. If you are strong in IT, you may can go through that chapter pretty quickly. As for me, I am NOT strong in IT at all (I work in governmental accounting, and it seems our department is way behind the times in regards to technology), so I had to focus a little harder. I missed A LOT of questions on the multiple choice, and honestly, I still could not grasp all the different terminology in the end. I did get several IT questions on the exam that I had to pretty much flat out guess on. I did my best on them and hoped for the best. But if you are strong in that area, I would say don't spend a lot of time on it. I didn't have a ton of questions on the topic, but it was definitely tested (of course, your exam may have more or less IT questions).
Economics in Chapter 5 is another area that was pretty heavily tested for me. Surprisingly, I seemed to grasp Economics pretty well and flew through Chapter 5 (which surprised me because in the past, I have hated economics. I HATE graphs, but there weren't any graphs on the exam. Very basic, generalized questions on economic concepts. If you are strong in that area, you may can breeze through it like me.
Chapter 6 seems to be a bunch of miscellaneous topics thrown together. Personally, I don't think this chapter is all that important, or at least I don't think it was to me. I went through the lecture and managed to rush through the multiple choice at the last minute, but I don't feel I got a whole lot out of that last chapter.
I would say if you have time, try to at least go through the Chapter 6 lecture. But if you feel you need to focus on other weaker areas, then that may be a better idea.
There's my 2 cents. Unfortunately, every exam is different, and yours could be completely different than mine. I am just glad to have BEC out of the way. It is one of the shortest sections, but it is full of miscellaneous, off-the-wall business stuff (and I absolutely hated IT). I am so happy to have that section over with.
Focus hard, and give it your best shot! I am taking REG on November 30th (currently working through Chapter 6 of 8, so I've got a lot to do over these next several days as well!).
AUD - 85 (8/30/2015)
FAR - 73 (10/13/2015), 85 (2/29/2016) (AND DONE!)
BEC - 83 (11/04/2015)
REG - 81 (11/30/2015)