I know this thread is a bit dated but this subject came up for me recently. At 9 weeks (two weeks ago) I started to experiment with calisthenics like pushups, pullups, L-sits, and related movements. I've mostly been modifying the pushup movement to take some pressure off the hip area like staying on the ground from the waste down, supporting the operated leg with the non op leg, or just leaving the operated leg elevated during the movement.
Based on the planking thread you mentioned and the general consensus of avoiding high impact and the lifting/carrying of weights more than 50 lbs at this stage of recovery it seems this activity falls in the safe zone. The hip stabilizer muscles definitely get worked on the pushup and L-sit movements so its good to take note when soreness sets in.
I was actually planning on getting some 90 lb adjustable dumbbells at some point but discovering the benefits of calisthenics, bodyweight training, and focusing on closed kinetic chain movements has changed my mind on that. Hard to believe because I used to be such a weight room junkie but between time saved, money saved, possible additional wear and tear on the hip saved, and the giant world of serious strength/bodymass benefits of bodyweight training I've discovered during this recovery period I think this will be the way to go for me.