Hey Jerod,
I just took a look at your site and it looks like the links for Eventbrite are manually added to the event content? Events are then manually added into Eventbrite as well I imagine?
If this is the case, you shouldn’t have an issue just removing the cost from the event details within WordPress and just added the cost terms at the top of the event description area. This wouldn’t impact the Eventbrite links that are added further down in the content.
Let me know if this helps.
Thanks!