All suspension options are interchangable, although some require some refiguring. It's not difficult.
I have all the hammocks you mentioned and I love the BIAS with it's extra length.
The extra fabric that flaps indicates that the hammock is wider than you need and can use. If that hammock were longer, you'd be able to increase the diagonal and eliminate the flapping, extra fabric.
The edges or "gunnels" of a hammock effectively get shorter as they are gathered into the center. So, when a hammock gets wider but not longer, it tends to barrel up or "canoe," which prevents the hanger from getting a good diagonal and flat lay. You can get diagonal, but you end up bowing up like a banana since the gunnels of the hammock are bowing up.
The Knotty Mod helps eliminate some or all of the flapping, but some of that can be fixed with changing the lay of the hammock and getting into a different diagonal lay.