IMHO, the best coating for a park barrel is Cerakote. H if you have the oven space. C if you don't. I've used AHII, Durakote, KG, Etc... Cerakote is WORLDS better than them. Hands down. The H is the best there is, bar none. However, if you don't have access to an oven large enough... I'd opt for the C (air cure) series. I despise park and eliminate it at all costs (it's ancient tech, and is garbage compared to todays tech. There is absolutely NO need to keep parts oiled (park) that could otherwise be coated with a barrier such as cerakote/AH, Durakote, etc. Shit... do you oil your car panels? No? Then stop oiling your exterior gun parts. Yes, it's that's stupid, this isn't WWII anymore). Park is an EXELLENT sponge for any type of coating (about the only thing that park crap is good for).
BTW, my favorite coatings are AHII (applied with "fine spray/mist nozzle) "matte black" and Cerakote C (air cure) "Glacier black".