Note: This isn't a still needing assistance situation, I just wanted to post a followup with a solution for anyone viewing this ticket. The site made me tick the reopening tickey box but support please just close it off.
I've spent a fair bit of the day checking into these options and whilst I appreciate the ones suggested by Waqar, I'd advise against them because the mdbootstrap one requires a pro license and tablesorter hasn't been updated in nearly a year.
In the end I've gone with FooTable as all I've had to do is download the standalone version (the bootstrap one is an option too but I found the standalone one better suited to my setup) and then enqueue the scripts like this:
wp_enqueue_script( 'footable', get_stylesheet_directory_uri() . '/js/footable-standalone.latest/js/footable.js', array ( 'jquery' ), 3.1, false);
wp_enqueue_style( 'style', get_stylesheet_directory_uri() . '/js/footable-standalone.latest/css/footable.standalone.min.css' );
In my theme's functions file (I created a chid theme but you don't need to). Then on the archive page just add this to the Loop Editors JS window:
jQuery(function($){
$('.table').footable();
});
After that it's installed and good to go. You can follow the usage instructions on their website:
versteckter Link
versteckter Link
The only tiny issue I ran into was a known bug that has been addressed and is a simple copy and paste to fix and is detailed here:
versteckter Link
FooTable has way more features than I'm ever going to need but it gives me the flexibility to get things sorting properly and the amazing feature of having columns be mobile responsive and disappear at certain screen sizes and replaced with a dropdown!
Oh, and make sure you have Font Awesome running on your front end to get the icons to show up properly.
I hope that this helps somebody else out and I strongly encourage Toolset to include similar features soon.