A support assembly for mounting masonry veneer to supporting wall structure has a first shelf angle, a second shelf angle, and a first shelf angle mounting bracket. Each shelf angle mounting bracket has an upwardly extending back that mounts to the supporting wall structure, and a web extending forwardly away from the wall structure. The web has at least a first shelf angle mounting seats formed in a lower region thereof that hangs downwardly of a vertical load shear transfer connection. A brace is mounted to the bracket. The brace underhangs the cantilevered supporting structure, and provides a moment reaction. The brace has a non-intrusive interface with the supporting structure. That interface may be in compression and the brace may act as a strut. The brace may be thermally isolated from the bracket. The brace may fit within the space envelope of a stud wall.