I've thought further on this and after instantly dismissing it out of hand, I now think there might be some merit in it but not necessarily for the same reasons.
On an individual basis, I prefer Doyle to Fleck. However, we have been super-exposed through the middle of the park this month with teams running through at will.
I'm not sure whether Norwood and Doyle suit each other as a pairing, whereas Fleck does at least offer more of a defensive shield (when he's at it).
Doyle likes to roam and play in more advanced areas.
He might be more the answer to our Berge problem, than our Fleck problem.
It will all depend on which Fleck returns though.