Howdy findwell,
Unfortunately I do not believe there is going to be an easy way to do this. Our ajax calls set post data for their uniqeu responses, so there is not a unique URL for a caching plugin to cache like there would be if the calls used URL encoded queries that were accessed via $_GET. You could try your hand at modifying the plugin ajax calls to use URL parameters instead, but that is going to have to be a direct modification to the plugin I think.
You might also try making this a feature request. I am not sure that it is even going to be possible to do and still maintain all of our current features, especially without a significant rewrite of the plugin. However, we do have numerous large customers like yourself. It could be a feature that many people want, and thus one we would consider implementing. The only way to know is to recommend it and see how many vote their support.
Does that make sense? Will that work for you? Please let me know. Cheers!
– Brook