Alerts rule continuance

I would like to have the option within an alert rule to "continue" processing to the next rule.  For example, we would like to handle integrations differently than email alerts.  I we could create one rule at the top with the highest priority to take an action with our integration, then allow me to customize everything else in separate rules.  The only other way to handle this is to add our integration to every escalation chain we create, which is tedious and will lead to manual errors.