Steven Zahm@ Eric
This really is not a Connections bug or issue… the same would happen if you attempted to load that many WordPress posts on a single page. Displaying that many on the page is resource intensive and on inexpensive hosts a page with that many posts fail to load.
You need to use a template which support pagination… any included in your purchase of the Pro Pack will.
It looks like you are using either the Slim or Slim Plus template. If you are using Slim, switch to Slim Plus as it will automatically paginate, 20 per page. If you are using Slim Plus re-enable the pagination by removing the enable_pagination=false option from the shortcode.
If you really, really, do not pagination for some reason, then your only other option would be to use a page caching plugin like WP Rocket. That way the page is cached and served as static HTML to most visitors. Someone will get a long page load because the cache does expire and will have to be recreated. YOu would have some control over that though by setting a very long cache time … which would be fine if your site is mostly static.
Hope that helps!