I'll use a tranq dart or two to get their attention and to lure them to a place I can build.

When I stop and turn to face them, I will use the harpoon gun/net projectile to drop them at my feet.

Then I'll put a 3 to 5 dino gate trap around them, with a door on each of the outer gates.

Then I start shooting tranqs at them and don't have to worry about roaming random dinos or argies killing them while I'm taming.

*Bonus: since I can use an exo mek, I pick up my trap when I'm done.