Still not sure I understand your question.

But if you build an average frame structure you will already have girts around the eave wall perimeter at the first floor height and and another eave girt at the top of the kneewall. I don't quite understand why you would need to add the 4x12 "ring". Also 12" is more than you will need for the second floor. 2x6s are probably more than you will need too if you are planing on laying a floor over the timber floor trusses. They aren't structural from a span point of view. More like a spacer.

Just to be clear. You would have about a 5x8 (depending on span and floor load) floor truss visible from below on the first floor, covered with 1x6 T&G, then 2x8 spacers run the same direction as the T&G over the floor trusses. Then sub-floor or planking whatever you prefer as flooring on the second floor.