Hello Gabe,
As I have already mentioned, when it gets too hot and dry, these succulents will be like on self preservation mode of sorts, shutting down or slowing down growth and moisture intake till conditions improve. So in essence your plant is doing a hot weather siesta right now.
I would not have moved them to a deeper container. Shallow and just smaller width would have been better. Too deep a container will not improve drainage so any remaining roots will just be drowning taking a long time to dry up. Even in hot weather, looking at your media mix, it seems too wet to me, unless it has just been watered when you took the photo. But it is good you have moved them to shade, they need the shade if temps are intensely hot and dry.
Our summer temps are swinging high and low as well, have gone to the triple digit a couple of weeks back and now settling in the low to mid 90's so it is intensely hot here too. So just have to provide them shade and wait for temps to improve, and that would still be around mid September.
When temps are forecast to go high, I just go around to mist these succulents, while it is still not getting hit by the sun early in the morning. But my containers are shallow so even if it gets wet, it will dry up nicely as the day goes on, so it is not getting soggy.
Now if it gets too hot, at times these houseleeks may just try to do a last ditch effort to survive and bolt, so it will cone at the center and start making buds and its fade away blooms. If it does not make pups, then you can just try and harvest seeds and replant them later. Good luck, hope your plant endures summer.
