Final answer:
The best deployment for the company's application with the given requirements would be Amazon RDS, which provides both operational simplicity and access to the database instance's operating system for script execution.
Step-by-step explanation:
The question concerns the appropriate choice of Amazon Web Services (AWS) database for an application that requires access to the operating system to run scripts while minimizing management overhead. Considering the requirements, the best option would be Amazon RDS (Relational Database Service). Amazon RDS allows users to operate databases without having to manage the database infrastructure, yet it provides access to the underlying operating system for necessary script execution. Unlike an option like Amazon DynamoDB, which is a fully managed NoSQL database service, and Amazon Redshift, which is an optimized data warehousing solution, RDS provides the balance of management simplicity and necessary access. Amazon Aurora is a part of Amazon RDS and could also be a valid choice if the company requires higher performance.