I was reading in another forum, and took some ideas that could work for this.

what if there were a Dragoon specific pet wyvern that you can get that would take up an extra party slot like the chocobo?
this way, the Dragoon can be strong, and have a pet for those that would rather use the wyvern instead of the chocobo in battle. so there is no pet linked to the dragoon job, its just a companion wyvern, not a pet wyvern so it would take up 1 party slot.

what do you guys think?