Hi Stephanie,
Currently we can only disable registration entirely for EasySocial. But if we do that, invited users also won't be able to register on the site. Therefore, we have to leave the registration open site wide.
Since disabling registration partially is not possible. We can try to prevent guest users from viewing the registration button and form instead. One way to do this is disabling the menu item "Comunidad Colorada" on your frontpage when a guest user visits the site. As for the login process goes, we can try to apply an EasySocial Login module on the frontpage so that users can use that to sign in instead of the EasySocial login page. I have included an attached screenshot that shows how the ES login module looks like.
If you think this idea is feasible, you can try it out and let me know how it goes.