I figured I'd resurrect this thread to say - I finally did it! 74 minutes, 43.00 seconds. It was only my third actual attempt (although I've done many sighted "blindfold" 5x5x5 solves as practice). I was on the plane back from the Philippines yesterday and realized I'd have a couple of hours relatively undisturbed when the kids fell asleep on the plane, and so I scrambled it and gave it a try.
Caveats:
1. It wasn't an official scramble - I did probably about 200 random turns just to make sure it was scrambled. Based on the memorization, I can safely say it was adequately scrambled.
2. I didn't use a blindfold. I needed to make sure I could watch the kids while I was solving, in case they woke up. I pulled down the seat tray in front of me after memorizing and solved it under the seat tray. I think that's only fair, since pulling down the seat tray takes every bit as long as pulling on a blindfold (longer, no doubt).
3. I used my stopwatch as a timer - it was all I had. And yes, I really got 43.00 seconds. Guess it really was a lucky attempt.
I had corner parity, but not wing edge parity. It took a little over 35 minutes to memorize, and 39 minutes to solve. It's still always been true that memorization is quicker than execution for me, no matter what size the cube is.
I find the 5x5x5 BLD to be significantly easier on average than the 4x4x4 BLD. By that I mean that it seems like it should take significantly less than double the time the 4x4x4 BLD takes. The wing edges take me by far the longest to memorize and execute, so the 4x4x4 has the hardest part of big cube BLD solving. Once you can do a 4x4x4 BLD, it's really not that big of a step from there to doing the 5x5x5 BLD. I only took so long about it because it takes so much longer to do an attempt, and it's hard to find that big of a block of time to work on it.
I had hoped to do this for the first time in a competition, but oh well. I may try to do one in this week's competition, though.