As I understand the role of this proposal drafting committee, everything is up for discussion - including whether there is or isn't a project manager, what they should do and how they should be selected etc. Nothing is set in stone at this stage (if I find out that it is, I will certainly let people know about it!).
I agree the foundation and council (assuming there will be one!) need to work together. Exactly how is probably another issue that this drafting committee should look at. There are some good models from other projects. From what I've seen most of these try to distance such entities from politics, involving them in 'councils' or whatever but with restricted or absent voting rights.
Anyway, until have a draft proposal in our hands everything else is hypothetical! Lets set up this committee and try to put a draft together - then we will have something firm the community can discuss!