When you are riding a mount and you see one, unmount. In most cases, it will aggro on you, and you can bola and tranq. No need to worry about your mount getting stunlocked to death. One rare flower and it's yours!
Many confuse these with the archaeopteryx. The micro raptors have singular head crests, whereas the archaeopteryx only have head feathers. The micro also has a flat cluster of feathers on the end of its tail, archaes have feathers along each side instead of at the end.
Get off of your tame with a bola ready, and once it runs at you, bola it and knock it out. One rare flower will tame nearly any level with no narcotics, but anything else will require some maintenance