Final answer:
Mary Pierce's views are not directly mentioned, but leaders similar to her likely favored revising the Articles of Confederation to remedy issues without violence, as seen in Shays' Rebellion.
Step-by-step explanation:
Mary Pierce's specific viewpoints on how to address the new country's issues in place of rebellion, as with Shays, are not provided within the information presented. However, it is generally understood from the context that some leaders of the time believed in moderating responses to such uprisings and to focus on systemic changes rather than direct confrontation or violent suppression.
The recommended course of action, broadly speaking, by leaders who did not support the rebellion included revising the Articles of Confederation and creating a new constitution that would resolve the underlying issues. This comprehensive approach to governance aimed to provide a stronger federal structure capable of addressing economic distress and political instability without resorting to bloodshed.