To my eye the tang limit has less to do with bioload than it does their interpersonal relationships. Personally, I'd throw in some butterflies to round it out. 220gals seems like a lot to us, but not to the fish. Imagine those fish in 1500 gallons, then I'd say you might have the space (territory) for adding more tangs. I say this because I've seen sailfins and Nasos in the wild, and they get HUGE. You want that in your tank, I promise.
As for the 'fuge, something is better than nothing, for sure, and I am sure it will not be a detriment to the system. It just won't serve (if it's really 20 gallons) as the sole filtration for the system when you're using less than 1lb/gal of live rock. Foam fractionation as adjunct will, of course, help greatly, and perhaps if you have the room make up for some of that live rock in the 'fuge (or add it to another open sump that just passes water through).
Should be a beautiful display.