I'm not yet convinced but Wiltshire County Council might have hit on an idea:
Wiltshire Council will operate without a chief executive after the authority ‘deleted’ the post.
As part of a radical management restructure which will see the departure of current chief Andrew Kerr within weeks, it has also reduced the number of corporate directors from five to three in a bid to save £1.4m by 2015.
Since leadership should come from members (don't all rush), is the Chief Executive role limited to the management and direction of senior officers? Thoughts welcome!