Data Tables & Taxonomies

Hi,

I currently have a CS Archive Layout, which uses the Search & Filter plugin to filter lists of records. I am in the process of trying to rebuild the page using Data Tables, which looks to be ideal for this task.

However, I am having difficulty getting the loopers right. Due to the way Search & Filter advised the CPT should be built, to maximise speed, names, places etc. are all ACF Taxomomies, rather than post fields. Looking at the screenshot below, each of those columns is an ACF taxonomy.

Remembering that this is an archive layout, how should I structure the looper(s), or is it not possible to do what I am looking for with the data in its current structure?

Any advice is welcome.

Many thanks,
Christopher