Hello @Rachael Thompson ,
Thanks for reaching out!
As mentioned in the official docs, #4:
Azure PaaS resources can be provisioned in an environment from a Resource Manager template and appear in cost tracking. However, VM auto shutdown does not apply to PaaS resources.
For additional information, please take a look at: Create multi-VM environments and PaaS resources with Azure Resource Manager templates
Coming to workarounds, please describe your environment/requirement so we can evaluate and suggest accordingly.
Hope this helps!