You can use a pelican 1495 with a node 202 for your personal item than in your carry on put the monitor inside. I travel alot for work and normally just use a monitor at work and use an switch pro controller. But i do this quite often no issues on Delta.
I've had to recover one of my older accounts it was a 6 digit account and my experience was positive. Generally if you have the original cdkey that you made the steam account with there should be no issues at all reclaiming it. They can also look up your purchase history but it gets to the YMMV...