Hellcats were used extensively in mud moving. In several books, it is mentioned that they carried bombs (and rockets when the F6F-5 became available) in many of the campaigns from mid to late 1944 to the end of the war. This became even more widespread when the fighter compliment of the carriers was increased to 70+ fighters in the air group (the Wasp's Air Group 81 had 127 fighters - 91 Hellcats and 36 Corsairs). These large fighter squadons replaced most, if not all, of the divebomber squads on some ships. This created a nightmare of admin duties for the FitRon CO's, so the navy split the large fighter squads into VF (fighting) and VBF (fighter-bomber) components. The only real difference between the two was the designation, as they performed the same missions and often used the same planes.
This designation split was done in January of 1945 (I believe, not exactly sure, too lazy to look it up). Thus, this system was in use during the major raids on the Japanese home islands, Iwo Jima, and Okinawa. With the divebombers relegated to a smaller role, and the Tordonut squads too, much of the striking power of the Fast Carrier Task Force had to be performed by the F6F's and F4U's.
Hope this answers your question.
-math