I actually agree with you Blocker, with regards to Morgan at least.
Our fundamental problem since becoming number 1 back in 2011 is the batting. Our bowlers have gotten us out of trouble on a lot of occasions after less than stellar batting performances and having not passed 400 in such a long time is a real issue.
Therefore my England for the summer is all about bolstering our batting in both strength and confidence. As mentioned before SL have a very weak pace attack so is the ideal series to build the confidence, therefore:
Cook
Root ---> he is the long term plan therefore get him there and stick with him
Compton ---> as other have said, best number 3 without trott
Pietersen
Bell
Morgan ---> for his experience and have him as Vice captain if Cook stays
Prior/Buttler ---> depends on county form
Stokes ---> having him below prior/buttler means he can counter attack a bit more freely
Broad
Finn/Borthwick/Kerrigan ---> depending on whether or not you want a specialist spinner or the extra pace of Finn
Anderson
Instead of Morgan you could have Balance. Technically you could move the keeper & stokes up in the order to get both Finn and a spinner in, but I feel that would give us too many options for bowling, especially given KP/Root's part-time and we desperately need an improved batting line-up and performance.
e: just thinking, Bopara could also come in at 6 giving even more bowling options if needed (although I don't think so)