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
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.