Cook
Stoneman
Root
Stokes
Malan
Bairstow
Moeen
Woakes
Crane/Rashid
Broad
Anderson
That would be my team for Brisbane, Root has to move up the order for me, even if he doesn't really want to. Can't help but feel Moeen is wasted down at 8, I've not got much faith in the batting ability of Broad and Anderson so he's going to be in danger of running out of partners.
Also leggies tend to have more success in Australia than offies do, so Rashid or Crane I would play purely to take 4th innings wickets.