Best Low-Profile Cooler/Deck Bag

Hi all- have been looking for a low-profile deck bag that is at least partially a cooler for long days on the inflatable SUP. I was imagining something that would either fit under the bungees, or clip/Velcro into the bungee system. Haven’t found much of anything- thoughts?

consider a “soft cooler” with refreezable ice packs

The best deck bag is no deck bag, since it makes your craft top heavy. The second best would be a really small soft sided cooler.