The only dino that'll agro an unconscious paracer is a Rex. So if those are taken care off and your cautious about not bringing in extra friend with you. You don't have to worry about other creature damaging your tame.
Note that a Paracer can NOT damage stone. Build a fair sized trap and lure it in. I used my base walls since they are very large, but a normal Dino gate room should do the trick. After that, fire away from safety.
My tribe lives in the redwood/swamp in the center and we always have pain in the butt titanboas following us and ko us put with the paracer the snake are piece of cake and if u have a good pvp base built on the back ur set
My favourite tame! Easiest way to KO is to get it stuck on something. Occasionally they will spawn half inside rocks and when attacked won't be able to get out. Trang it and then mine the rock. Most animals won't attack a downed one anyway!
What I did was just get on a trike and shoot it's face. It quite easy as the head faces you during attacks. Make sure you have high health on mount cause they do respectable damage much more than bronto. They also travel in herds so I wouldn't suggest anything lower than crossbow