Greebo, according to my copy of Eagles of the Southern Sky. A6M3 V-190 belonged to the 3rd Chutai flying from the Buna detachment and indeed had a black fuselage band. There is some confusion on if the black band on the model 32s represented the 3rd or 4th Chutai, because by the time the Model 32s were getting into theater the Guadalcanal campaign was grinding the Tainan Kokutai down so bad a lot of organizational niceties were thrown out the window.
I don't know if you plan on doing anymore Taianan skins but if you do here's a little info I have on what they intended the organization to look like.
Model 21s
V-101 through V-119 1st Chutai red sash
V-121 through V-139 2nd Chutai blue sash
V-141 through V-159 3rd Chutai yellow sash
V-161 through V-179 4th Chutai black sash
Model 32s at Buna
V-170 through V-179 1st Chutai blue sash
V-180 through V-189 2nd Chutai yellow sash
V-190 through V-199 3rd Chutai black sash.
Hope this helps, your work is awesome. The Tainan Kokutai is my favorite IJN squad
and the 244th Sentai my favorite IJAAF squad. Your last two efforts with both units are just awesome. You bring a lot to the game my friend.