In the short term, it might be worth tinkering with Trott swapping places with Root.
Trott plays in near enough the same manner regardless of the game situation (and regardless of form). It's frustrating, but that caution can be well suited to opening the batting. And he's done it before for Warwickshire. Root can play with caution too but -as we've seen- he can get bogged down and then that builds pressure. Trott is by no means explosive, but he will look to score.
For Root, when he starts defensively, it seems to be harder for him to get motoring. Going in at three might give him more freedom.
Ideally you'd want at least one opener who looks to take it to the opposition, but the candidates out there aren't a vast improvement in that regard.
On the plus side, although the batters have been below par for most of the series so far, there does seem to be a degree of resillience there. That last morning at Old Trafford apart, they don't look like getting rolled for ridicuously low scores as per Australia's first innings at Lord's. Get the score up to 260+ this morning and that might still be a competitive score on this wicket.