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.
On Scorched Earth the Paracer with its platform saddle is a needed tame. You can put a cannon on it and use it for taming Rock Elementals or use its high weight and health for carrying large loads of supplies around through dangerous areas.
You can put an outstretched platform with railings on front of paracer and then put moschops on the platform then jump on Rex or giga and kill stuff but don't harvest so when the paracer comes the moschops will eat the corpse and gather tons of prime.
Put a tek force field on this thing and bam. You have a mobile impenetrable shield that you can walk right into a base and to tank turrets slowly while your enemies watch and can do nothing but try to rocket it down.
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.