When I was taming mine, it fell into a gorge. After that I just shot it from the top of the gorge, when it ran I got on my bird and flew to the bottom of the gorge and shot it. It later fell to the ground where I fed it meat and tamed him. I named him Copper, and he’s very useful, and I recommend him for boss fights
Mine got stuck in a rock so i shot it from a far distance till it got knocked out chances are i won't get that lucky again. Oh and if there are carnos around it they'll run when its big boi is about to be knocked out.
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.