I did delve into this page: https://documentation.ajaxsearchpro.com/behavior/results_page_live_loader
I tried configuring the archive live loader and specifying the DOM element as .et_pb_blog_grid and it looked like it was trying real hard to load filtered results into that element but it looks like the filtering options would remain the same even if it had worked.
Perhaps I need to simply use Ajax Search Pro on the main, broad level resources page and if someone starts drilling down just use a traditional list of categories on the left.