Final answer:
The Business and Enterprise AWS Support plans offer the full Trusted Advisor checks and programmatic case management.
Step-by-step explanation:
The AWS (Amazon Web Services) Support plans in question that offer the full set of checks for AWS Trusted Advisor best practices, and that also provide support for programmatic case management, are the Business and Enterprise support plans. The Business support plan provides tools and support needed for AWS intermediate users that are running business-critical applications on AWS. On the other hand, the Enterprise support plan offers the highest level of service, which includes a Technical Account Manager and access to Infrastructure Event Management, among other benefits.