Pelican for me. There are other good ones, but I would not put a $1700 O/U and a $1900 O/U (mine and my brothers when we fly to Canada) in any other than a top of the line, custom fitted case. For that matter, I did the same with a $300 gun.
As for the locks - non TSA locks. Keyed or combo whichever you prefer. On the outside of my case, in the free engraved nameplate is my name and cell phone number. I also got one of those scanner things (QR) that lets someone scan it with a smart phone and has my name, email, and cell phone number linked to it - it was from a non-pelican company but it fits the cases. If TSA needs it opened, they can call you. No offense to any TSA agents reading this, but I would guess they have a similar incidence of thieves as the general public (certainly not more) and that is just enough I don't want them opening my case without me standing there. Or someone in another area of the airport that has a copy of a TSA key.
From Delta site:
QuoteFirearms must be packed in a locked manufacturer's hard-sided container specifically designed for the firearm, a locked hard–sided gun case or a locked hard-sided piece of luggage. Handguns may be packed in a locked hard-sided gun case, and then packed inside an unlocked soft-sided piece of luggage. However, a Conditional Acceptance Tag must be used in this case.
[/i]
Please read this blog before you fly with TSA locks on a gun case. It is not legal.
http://blog.beretta.com/10-gun-tips-you-need-to-know-about-flying-with-gunsNOTE: Was not replying to your post. "TSA approved" may not mean TSA locks. TSA locks are the ones for luggage that TSA has keys for-they are not for gun cases if TSA agents can open them with a key. You must be the only one able to open the case. Important distinction.