Yep, you do need to have the wire secured so that foam, or anything/anyone else doesn't move them. No just leaving them hang loose.
Had I known ahead of time I wouldn't have used a split box for locations on the outside walls. These have a closed back for the line voltage and an open back for low voltage. Instead I'd have left the line voltage in a single box on one side of the stud and put a 2-gang closed box on the other for the low voltage stuff. That would have left me a lot more room for excess length. For the open boxes I fashioned a bit of tape across the back, making enough of a barrier to keep the foam from filling it. It worked, thankfully. Were I to do it again, it'd be closed back boxes anywhere there's foam. Lesson learned.
Yep, I used a Nikon D80 with an 8gb Eye-Fi card. It sent the pictures off from the card as I was taking them. Didn't take more than 8gb at once but it was nice to have the card do the transferring for me. Otherwise, yeah, use a good camera (not just your phone) and have a fast card in it.
I also went around with a camcorder; two actually. One being a flip, the other being an HD Canon. The latter was overkill, but again, it's best to have the footage and not need it. Footage, heh, there's some retro terminology. Like dialing a phone... Anyway...
I have over 3000 during-construction pictures of our 4 bedroom, 5k sqft house. Most taken from the center of the room. All aimed toward some part of the infrastructure and following it. With plenty of overlap, enough to allow making panorama shots (not that I've needed them). Bytes are cheap, take LOTS of pictures.