So where should I host Drupal and WordPress sites for HigherEd?

I like Panteon for Drupal and WPEngine for WordPress. The Dev/Staging/Prod environments at Patheon for Drupal are very useful. Pantheon also is very good for WordPress but WPEngine is just superior in my book. In particular I like how WPEngine integrates with Cloudflare and their involvement with the plugin I use most, ACF.

My favorite, hassle free, shared hosting for minor projects is Crocweb based in Canada.