The problem is you can't play Powe, BBD, House, and T. Allen at the same time.
You can play any of those guys with the four starters and be fine. House can play PG when Allen and Pierce are there to help create. T. Allen or House can step in at SG when Rondo is there. Powe looks good next to KG and okay with Perk out there, ditto BBD.
Doc seems like he only wants the starters to come out and go in once. As long as that's the case, it's going to be difficult in the regular season to prevent the four bench player rotation. As an alternative, he may need to consider going with Perk or Ray Allen off the bench. Then he could stagger the rotation so he always has 4 of the better 5 players on the floor.