Hi Brian,
Hmmm… that’s an interesting question. Our WooCommerce: Tickets add-on doesn’t do that out of the box. You can set a cap per ticket type, but the system isn’t able to configure a cap across multiple ticket types at the moment. And while we don’t do customizations, I would think it would be possible to do with some tweaks. Perhaps you could find a developer to help you if you’re not comfortable doing that yourself?
I might also encourage you to share this on our Features Ideas page https://tribe.uservoice.com/forums/195723-feature-ideas. I would think other folks are in this situation as well and it might be something we could look at adding in the future.
— Julie