Change the name from "Personal" to "Battle" or "Company" Chocobo and take away the free naming function. Don't implement naming till the "real" personal chocobos (breeding) are available.

Either that or open a "Secret Society of Forbidden Materia Crafting Guild" and give DoH/L a Personal (nameable) Choco through that guild (and make them really fat so they can carry extra gears/materieals).