So I think I have a good idea to tame one of these:

1) Find your desired Tapejara (Wow, who would've guessed that step)

2) Eat a rare flower to get it to chase after you (Clear out the area if you don't want to deal with other creatures)

3) Use a harpoon gun with a net projectile to trap it and stop it from moving

4) Build a trap (anything you want) around it before it escapes (You have a minute so you should have enough time)

5) Knock out and tame your new best friend :)