Hannah Lucid thank you for clarifying! This definitely makes sense in terms of CX. The Zapier approach would still work, but if you are not using schedules OR if you have an enterprise plan and can use multiple schedules, this could be a solution within Zendesk. It would look something like this

Set your schedule to be something like 8am-2pm CST Mon-Fri or whatever makes sense for you
Create a trigger that sets the schedule on the right tickets
Create another trigger that sends the above email if 'Within Business Hours?' Is 'No'

If you are using multiple schedules and you don't want to remove the schedule from the ticket, you could (I think) still do this using the 'Tickets within schedule' rule. It's a bit more complex but you'd set up a schedule called 'Transfer OOO' or something similar that runs from 2pm until 8am (the reverse of when the transfers happen). Then you would use 'Ticket is Created' with that schedule. If it's created while the transfer team is OOO then the email would be sent, but you wouldn't lose any existing schedule on the ticket.