Hi Peter
I've been looking into this, let me comment directly with where we are at, while awaiting some feedback from the developers.
There appear to be a couple of issues affecting your site.
One is related to a known issue, described here: https://toolset.com/errata/unexplained-problems-on-backend-edit-screens-possibly-associated-with-json-errors/
That problem was first reported in relation to Yoast, and it seems fairly innocuous: for SEO purposes Yoast scans the contents of the posts being edited, and can be confused by our implementation of dynamic sources such that it submits an ajax request that includes an unparsed shortcode, which generates a 404 for that particular request. At face value that is harmless, and is why it hasn't received much attention before now. But recently we've had one or two other reports about problems with the back-end editors on certain hosts, and it appears that the presence of single quotes in that query from Yoast is raising security flags and prompting the blocking of some legitimate requests (giving 403 errors) which affects the funcionality of the editor.
I did some checking on your site, and it appears that the SEO plugin you are using (SmartCrawl Pro) suffers from the same issue.
So I've raised the priority of that existing issue so that it can be worked on sooner, to see if we can intervene so that the SEO plugins don't make those problem requests with an unparsed shortcode, and I'm linking this thread to that internal ticket.
At the same time, your site also appears to experience intermittent issues when trying to edit pages containing Views, where sometimes the page loads in the backend and is editable, and other times fails to load at all, or partially loads but the browser console reports invalid JSON responses and 500 errors on such requests.
The intermittent-ness likely reflects the load on the server at the time of loading the page edit screen. On a local copy of your site I could see that the 500 errors relate to a PHP Maximum execution time exceeded error. I found that increasing the PHP setting for max_execution_time resolved the problem, and you may need to speak to your host about doing the same on your server. Although your site is large, the View I inspected on the Archive of... page didn't look overly complex, and I've also passed that to the developers to take a look at to see if they can identify why the page needs so long to load.
So I see 2 issues affecting your site, both of which have been passed to the developers.
For the first—relating to the SEO plugin—I suggest you check if its settings allow you to disable it on particular pages (i.e. pages that contain a View and an image block using dynamic sources in particular) and on Views Content Templates. Or you may need to temporarily disable it while making edits to such pages.
For the second, while we investigate why the page takes so long to load in the editor, I suggest you ask your hosting company to increase the max_execution_time setting.
Shane will follow up when we have some feedback on either of these from the developers.