I would cover the sides of the truss with plywood and then add the 2x4s to support the floor.
Tack the 2x4 in place and nail thru from the back side of the plywood.Nail the plywood into the top and bottom chord of the trusses? And then nail the block through the plywood into the top chord of the truss?
I would think so. Add floor glue to everything.That will be strong enough through the plywood?