I think that sounds less militaristic and still shows that you are refering to Flyiers.
I'm actually aiming for a militaristic slant.
Reason: Great Valley is at war.
I have actually debated if I should split the Great Valley Air Force into a military and civilian division.
Civilian - "Great Valley Flight Team" (Rearming, low-risk recon, rescue, transport, etc.)
Military - "Great Valley Air Corps" (Combat, high-risk recon, escort, etc.)
If I do decide to split them, "Flight Group" will be used to refer to the civilian branch and "Squadron" will be used to refer to the military branch.
Kor, I did decide to have the flyers split into different roles (scout, intercepter and ground support).