I had the Delightful MM and used it with a keepall strap. It was big. I felt like it was a feed sack! I stopped using it since I really didn't need all the room. I think the pm would look fine with a strap.
I see many moms at a mommy and me class which I bring my DIL to every week. Most have Neverfull MMs so I understand you wanting a bag with a strap. I see what you are saying now.Hmm the reason I thought mm was because I have a 4 year old still carry some things for him and will have a newborn