Can't this be solved by using IP addresses for hostnames? This can be a part of bootstrap script(which ASG/Launch Configuration already supports via UserData[1])

What I can't understand is -

If your logs are in ELK and metrics in prometheus/grafana - why do you need SSH access? Sounds like thats a good problem to solve

[1] - https://docs.aws.amazon.com/AWSEC2/latest/UserGuide/user-dat...