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.
Bout to tame one of these bad boys with my Boi Snow to tame a rock golem. 1. Trap golem 2. Have saddle loaded with turrets for safety 3. Storage cannon balls and two cannons facing off back to rock that rock golem in the mouth! Yip Yip Ya!!! And about that beer thing not a bad idea. Might tame some crap throwers on the way there to help. Good luck and keep on surving my dudes! Hit up so I can get to top for my Boi snow to see this.
So this guy's are quite easy to tame you just need to build a 4x4stone foundation then stone dino gateways but don't put the last2 gates you need it to trap the paracer you also need large bear trap then after done putting all the traps find a paracer the color and level you like shot it one time of tranq arrows then wait for it to chase you then go near the trap after it traps to the large beer trap put the last2 dino gateway so it can't escape then enjoy taming your paracer btw they are good for travelling cause you can build a house on them sorry for some of my English