Possible caching issue continues to cause page errors

Hey guys,

I really need some insight.

It seems the following issue has occurred ever since our server was upgraded to Litespeed 5.0.5 with support for HTTP/2. We have a VPS.

Also, the problem occurs on our only site that has an SSL certificate.

The following errors keep showing up when going to pages via any browser:

EITHER THIS ERROR
This webpage is not available
The webpage at (MY NOTE: IT CAN BE ANY PAGE ON THE SITE) might be temporarily down or it may have moved permanently to a new web address.

OR THIS ERROR
We're having trouble displaying this page.
We're having trouble with the page you're trying to reach and can't open it right now.
Try the following: Refresh the page or try again later.

If I hold down the shift key and reload the page, the proper page will come up.

I have W3 Total Cache & Cloudflare on all sites on the server, including the site in question.

The settings for both cache tools are the same as on our other sites.
I have purged the cache entirely on W3 Total Cache & Cloudflare for the site many times trying to solve this.

I have also deleted all cache contents on all browsers.

The problem continues to appear.

All browsers are the most recent: Chrome, Firefox, IE, Opera.

The final oddity is the page may show up okay in say Chrome sometimes, but not in Opera or another browser. If I hit shift & reload, the page comes up.

I'm lost...ideas?