I'm not sure running an additional service plus a SaaS requirement is better than relying on infra. Standing up this service is going to rely on your infra. What if it goes down?
If you're going to have to write a scheduled check-in anyways, why not use something like cronitor and reduce the complexity? (they host the check-in endpoint)
If the infra goes down, you fix it while alive, otherwise the snooze timeout on the PagerDuty incident will expire and that will trigger the configured tasks. If PagerDuty goes out of business before that, then that's a different discussion.