The easiest and cheapest way to manage the Cloud Security Connectors is to use AWS Systems Manager. AWS official documentation is available here: https://aws.amazon.com/systems-manager/.
With AWS Systems Manager, you can manage the CSC remotely. To do it, you need to create "Documents" in advance. "Documents" are a series of commands used by the "Run Command" functionality.
Attached to this article the CloudFormation template to create all "Documents" in one shot. Create a Stack using the ClouFormation file attached on the AWS region from which you want to manage the CSCs.