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I'm an all-Domke user, with three bags. The F3 is amazingly capacious and would probably work so long as the lenses with their hoods fit in the two interior lens sleeves (diameter could be a problem, not depth/length. I use my bag as a walk-around, with Nikon 18-105 VR and hood in one, the Nikon 70-300mm VR with hood in the other. Room for SLR body and several smaller lenses in interior. Side pockets hold a lot batteries, small flash, cords, etc. Large pocket in top flap holds a lot of stuff...cords, notepads, wipes, and other stuff.
The F2 is larger and heavier. I use it as well with another body and a bunch of lenses, but it tends to work best with smaller lenses. I do manage to squeeze in an 80-200mm at times, but in reality there is really not enough depth/length for this lens.
I'd give the F3 a try. If you can visit a store for the purchase, fit your lenses first. If they fit the inner sleeves, you're home.