I think they might drop Lyth, move Root to opener with Cook, then everyone moves up the order and Anderson comes in at 11. That's what I'd do. We shouldn't need another batsman (all the bowlers can bat, Broad and Stokes especially). If they want to try an opener, Mark Stoneman of Durham deserves a shot. They could also give Buttler a break to find some form and put Bairstow behind the stumps, which would give them the opportunity to try another batsman.