Final answer:
To establish a county-level equivalent of a governor, the county would implement a council-elected executive system, where voters elect both the council members and a separate executive. This system gives the executive authority to veto council actions, draft budgets, and propose policies.
Step-by-step explanation:
If a newly formed county government wishes to have an official serve as the county's equivalent of a governor, the system they should set up is the council-elected executive system. In this system, voters elect both the members of the council and the executive, similar to how a state governor is elected. The executive has the power to veto the actions of the council, draft a budget, and offer suggestions on public policy.
Under the council-elected executive system, the county executive would perform roles similar to those fulfilled by the state governor, giving the position of executive authority within the county government. This differs from the commission system and the council-administrator system. In the commission system, the elected commission performs executive functions, while in the council-administrator system, an appointed administrator handles the administrative work under the council's direction.
Therefore, out of the options provided, the most suitable for a county to have its equivalent of a governor is the council-elected executive system, which demarcates the executive leadership separate from the council itself.