Hi Lance,
Thanks so much for reaching out with your WeForms questions! I’m not familiar with the Zero Spam plugin and I don’t think we currently have an integration for it.
You can try switching your Email Provider from the standard WordPress configuration to SendGrid, MailGun, or SparkPost. I know those providers have additional anti-spam configurations that you should be able to implement.
I hope this helps. Please let us know if you have any other questions for us!