I completely recommend a trap. (Stone foundation 3x2, place stone doors frames all around that are 2 high, then 4 wooden ramps at one of the 2 foundation sides. Then lure him in). Will probably take a couple try’s but you should eventually get it in the trap.
It really is that simple though, they can't reach you or your flier on a big enough rock, so if you don't want to make a trap you can just shoot down from a rock or cliff once the carnos are dealt with. Be ready for a goose chase once it starts running.