I have used the Trico Ironcase quite a few times, but always with a metal bike. I have an older compact Merlin that I use for travel because it is very durable and packs up nicely in the case. I have a picture of my packing at home, I'll post it later.
But from memory, I take the bars out of the stem and leave the stem on the steerer. I tuck one end of the drops under the top tube and the other is in front of the stem, so the shifters are vertical in the case. I take off the rear derailleur, wrap it in a rag and zip tie it to the chainstay. I use chains with a removable master link so I pull the chain and pack it a plastic box. I put the metal rods/wingnuts in place in the dropouts to prevent compression damage, the key here is to offset them slightly so the upper parts do not stick up excessively. Saddle/seatpost obviously pulled as well, I tuck it in up by the fork/downtube junction with the seatpost wrapped in a towel and along the downube. I put an old T-shirt rag around the drive train and driveside crank arm as well. I usually put my shoes in a shoe bag and put the pedals inside the shoes, along with a smattering of tools and my wheel skewers, then place this below the saddle near the bottom of the front fork. My frame pump, water bottles and extra tubes also get packed in this level.
Then the 2nd piece of foam gets overlaid and I place the wheels. I never pack carbon wheels in this box, just too risky. I have had the metal rods that are in the dropouts push through the foam once and leave a little artwork on a Campy Eurus, that is why I suggest making sure the rods do not stick up too high on level one. Then the 3rd piece of foam and the top of the case. It does feel a little awkward tightening the case down, but that is the secret of this case in that everything is snugly encased in the foam. The main problem is that in most instances it is going to get opened by TSA agents and you will have no control over how they close it up. At SFO last fall I got to watch while a female TSA agent opened it, then struggled to get the top back on, then watched 2 male co-workers come back from break and gorilla the thing back together. I just cringed and walked away. There was no damage when I opened it up back at home, surprisingly.