Is there a way to make a conversation exempt from a “Customer has been inactive” workflow

Is there a way to make a conversation exempt from a “Customer has been inactive” workflow with snooze features used? Often, we have customers with a resolution that may take several hours to complete. While they are waiting, I don’t want our Snooze and “checking in” messages to fire. I thought manually snoozing them would keep them exempt from the workflow but they get pulled out of the manual snooze and the workflow forces them into the snooze and checking in message cycle, leaving our customers confused! Any suggestions?