Sorry that it timed out like that but take solace in knowing when they shut down an "E ticket" type attraction they make it a point that the rest of the really good rides are up and running, usually.
No big really, just ride the heck out of it the first day and get your fill. You can focus on it and ride it tons of times, especially if you are there midweek. If the lines are short try sitting in the middle area where nobody walks up to ride often (if it's low capacity) and they will let you stay on repeatedly until someone wants the seat.
We do this all of the time and just a couple weeks ago we were able to ride it four times consecutively. My personal record for DLR DL BTMRR is around 10 times without getting off. My all-time record is 16 consecutive times at WDW MK BTMRR on Christmas Eve 2004, me and my sister were able to ride it over and over, switching seats each time as nobody was there except for maybe two or three sets of two per trip. It was a "perfect storm" of Disney ride repetition! We rode it so many times (for about an hour) to the point we wanted off. The CMs were actually disappointed as they were egging us on each time to keep going once we got to about 10 trips. It was amazing! One of my favorite park-related, ride-related stories.
Oh and uh, I just rode BTMRR tonight, this evening as I stopped in to DLR on my way home today and the place was not crowded and most of the holiday lights are up.
Have a great trip!