To design a resilient solution that can improve the recovery time for the system, a solutions architect should recommend creating an Amazon CloudWatch alarm to recover the EC2 instance in case of failure. This solution has the following benefits:

It allows the EC2 instance to be automatically recovered when a system status check failure occurs, such as loss of network connectivity, loss of system power, software issues on the physical host, or hardware issues on the physical host that impact network reachability1.

It preserves the instance ID, private IP addresses, Elastic IP addresses, and all instance metadata of the original instance. A recovered instance is identical to the original instance, except for any data that is in-memory, which is lost during the recovery process1.

It does not require any modification of the application code or the EC2 instance configuration. The solutions architect can create a CloudWatch alarm using the AWS Management Console, the AWS CLI, or the CloudWatch API2.