Don't think Archer will play in the ashes. Woakes will likely be the third seamer assuming he's fit, which isn't guaranteed going on the reports of his knee.
Think Archer will goto NZ and SA for the 2019/20 winter though and should play.
Telegraph had Vince and Clarke as likely 2+3 for the ashes
https://www.telegraph.co.uk/cricket...ke-could-handed-ashes-spots-england-consider/
So that would leave imo Burns, Vince, Clarke, Root, Buttler, Stokes, Bairstow, Ali, Woakes, Broad, Anderson
That being said all 3 top order positions will be on the table and with 12 rounds of championship cricket to be played before the ashes, it really is an open field. Were anyone to score a pile of runs in div 1 (or even 2) it would be hard to overlook them.