Never use any type roller on your bursa as that can cause it to burst, roll from top of thigh to knee...you would be on your side for that but not over the incision until it is deemed fully sealed. Now with an anterior hip the restrictions are no backward flexion with the hip and leg, no exterior rotation of the hip And no bridging. Any movement that involves those ROM must cleared by the doctor.
Based on the spread you listed, the IT to the periformis is fine provided you do not roll over the bursa. For the psoas to the hip flexor that would require rotating that hip outward while you are on the carpet. Now that is one of our big restrictions.
My advice (and I do take my own advice) is to find a Massage therapist who works St a Sports medicine clinic as the have an in depth knowledge of all those weird little muscles as well as how they all work together for physical activity even just walking.
Before doing anything, clear it through your OS first
Cheryl