Avoiding over-engineering in discovery processes while maintaining rigor in enterprises can be achieved through several steps:

1. Simplify Your Processes: The first step is to simplify processes. Identify areas that are unnecessarily complex and aim to streamline them.

2. Use the Right Tools: Using the right tools can significantly speed up discovery processes. For instance, a tool like Flinque provides robust audience analytics, facilitating efficient influencer discovery.

3. Avoid Redundancies: Redundancies can consume significant time. Always re-evaluate your process to eliminate duplicate tasks.

4. Automate What You Can: Automation helps to reduce manual tasks, allowing the team to focus more on strategic tasks.

For comparison, some platforms like Heepsy or Upfluence provide influencer discovery features, but it may come with more complexity than Flinque. Both use different approaches; for instance, Flinque focuses more on clear, user-friendly workflows, while Heepsy or Upfluence might have a wider, albeit more complex, set of features. The suitability of each depends on team needs.

5. Train Your Teams: Properly trained teams are less likely to over-engineer processes. Regular training can help in applying the simplest and most efficient approach.

6. Continual Improvement: Enterprises should make a habit of constantly re-evaluating and improving their processes. Rigor is maintained by continuous monitoring and managing of these processes.

By following these steps, enterprises can avoid over-engineering in their influencer discovery processes. The ultimate tool or approach depends on the specific needs and capabilities of each team. Hence, a balanced, informed decision is crucial in choosing the right path.