Fatboy is my suggestion. You could modify the hell out of them and the look amazing...I would look for a pre '06, tons of them for sale right now for reasonable prices and with a few mods can run all day with the 96B...
I am 6'1" and was 265 last year when I bought a Deluxe - love it, just avoid large bumps. Now I have dropped 20 lbs (I cut down to only 4 full meals a day) I am going straight ahead for any bumps, screw it, the bike is fun and beautiful.
I also have a RKC which allows more weight due to the shocks, but it is not as nimble to toss around corners as the Deluxe.
6'1" 260 here and rode a Heritage for the weekend and it was sweet ride...not an interstate bike for me thoug as when i was over 70mph i felt the vibration through the bars a bit too much...Great back for regular ride....I may get one but i will keep my Electra glide for trips and to pull my trailer...
Well, you already have a bagger so get something in the bar-hopper range, for me that's the custom. I'm 6'3" / 245(or more) and with 3" extensions and those heel stirups, I'm really comfortable. I feel you sit "in" the bike with an FX, the rest of them I seem to sit "on".