I moved my 150G tank about 2 hours in the cold weather a couple of months ago. There were no corals or inverts, but I didn't lose any fish. Here's a thread about it, which includes some discussion on the substrate.
Moving a 150G FOWLR
and there's a link in my signature to my fish blog where I wrote a little about my move if you want to read it.
As far as substrate goes, I'd have to recommend against trying to transport what's already there. It's really easy to cause huge problems with your tank by trying to move substrate and I don't think you want to chance it. My tank had maybe a 2" sand bed at most and it was only up for a year or so and I still didn't feel comfortable moving the sand.
Coolers worked very well for me for the LR
. I was able to put the coolers in the moving truck, in the cold, for the 2+ hour drive and even though it got significantly colder, I didn't have any trace of a cycle, so it must not have had any bad effects on the bacteria.
The one mistake I made was not making sure the mixed SW
I had waiting at the new place was warm enough.