Fresh (not frozen) fish

Hello! I’m wanting to fly United Airlines from San Francisco with about 4 lbs of fresh halibut that we caught today. We have a hard side cooler, gel ice packs and tape to secure it. The fish is filleted, not frozen, and placed in two leak proof bags currently. Upon researching, the fish can be unfrozen, the ice packs must be frozen and no water in the bottom of the cooler. Can this be used as a carry on item? We’re confused and don’t want to get to the airport just to have it tossed. Has anybody done this before? Thank you ahead of time.