Not exactly what you are after but I would recommend "McCampbell's Heros." It is about Commander David McCampbell, CO of the Fighting 15th off of the USS Essex. He ended the war as the 3rd highest scoring US Ace with 35 kills, I believe. His fighter squadrons flew the F6F, which is also what he scored all of his kills in. It does talk about combat life in the Hellcat a bit.
One great story recounts how a Division of Hellcats (4 birds) comes across an older A6M all by its lonesome. They go in for the kill, almost doing 'paper, scissors, rock' to decide who gets the kill. When the smoke clears, not a single Hellcat placed a single round in the Zero. It flew away after flying circles around them. They noted it must have been flown by some "old school" stick.
Great book!
boo