A magnetic head suspension for supporting a magnetic head at a fixed distance from a rigid actuator arm has a single one-piece structure with a flexure region and a load beam region. A proximal end of the load beam region is joined to the rigid actuator arm. The flexure region projects distally beyond the load beam region. The flexure region is divided into a head support region, at least a first set of arms, such that at least one set of arms is formed with offsets which position the plane of the head support region recessed from the plane of the load beam region. The head support region is constructed and arranged for receiving a head slider to be bonded thereto. The first set of arms is defined by a first set of slots in a surface of the flexure region, the first set of slots also defining a perimeter of the head support region, each of the first set of arms generally enclosing at least a part of a perimeter of the head support region. There may also be a second set of relatively inflexible arms, defined by a second set of slots in a surface of the flexure region, such that the second set of slots also defines a perimeter of the first set of arms. At least one of the sets of arms is constructed and arranged with formed offsets, which position a plane of the head support region recessed from a plane of the load beam region.