See, now you are telling me what I did not know, Thank you. I have only ever seen them make an aerial catch. Now that you say it it makes sense that they don't swop down in a ground attack.
The part about being triggered by movement... didn't know that either but it seems obvious now.
I'll admit it... dumb idea, but I am a think out side the box kinda person so...
In theory a white pigeon confined to a wire cage will pull in hawks like a cow draws flies.
FYI 2 or 3 #1 long spring traps set on top of or else near the cage will result in a captive hawk who you can than have a conversation with in regards to the Raptors' chicken killing ways.
The hawk will go absolutely bonkers running back and forth trying to flush the pigeon out of it's wire bunker, that's when you'll catch him, the hawk that is.