On my 1801, I replaced the stock cooler seat with a leaning post. It is just big enough to hold a 45 quart Yeti cooler underneath the post. I use this cooler for beverages and food for the kids.
While I usually am doing C&R flyfishing, I have a larger marine grade Igloo cooler that I place in front of the console, adjoining where the front hatch is accessed. I fill this with ice when I am going to target fluke or bonito, or one of the few stripers I keep a season. This works well, as it allows the cooler to be removed and washed when I am cleaning the boat, but also has a large amount of storage. I use the console for life preservers, dual batteries, and safety equiptment and tools. I would suggest that you never put any fish or bait in there, as it will likely smell like fish forever.
I also put a vertical rod holder on the side of the cooler, which is handy when you are moving short distances like fishing a rip, and want a place to put the rod down. I would steer clear of the cooler chocks, as they will catch a flyline or stub a toe like nobody's business. While the cooler does fit well between the two stern seats, I think it takes up too much of the cockpit and also might block the egress of water in an emergency. With kids on the boat, the cooler in the front also gives them a place to sit if the seat is already occupied and keeps them in your view as you move from sopt to spot.
T-Bro