Use an argy trap but double the length and keep an extra gatedoor in your inventory, close one gate and lure it in via the other side, while riding on a tame that can tank a few hits.

When you got it and yourself trapped move around and try to split you and the owl via placing the the gate door in between. You can now let out of the trap and tranq your flying snowbal :D

Bdw use tranq darts you don't want to know how much owls I have killed using my crosbow