esiest way would be to hunt high rank rathalos ;P but as i assume you want his materials right now:
you can get plates from breaking the face(4% chance), carving the tail (3%), from shiny drops (2%) and as a capture reward (2%) and there is also a small chance for it to be a normal quest reward.
so (unless you want to do a full hammer playthrough) use a cutting weapon to get the tail, and then capture him.
Or you could try doing tail runs (again considering you don't do a hammer only run) go in, cut the tail (use shocktraps or if in a team sleep/para status) and just abandon if you don't get a plate from it. it can be faster if you can cut the tail efficiently or if it takes you a long time to take him down with your current equipment.
in the end it comes down to chance though if you get one or not and it isn't called a rare item for nothing.