How to remove bulk edit options

A more reliable approach than messing with CSS would be to add some Javascript in the admin_head action, and basically override the built-in “inlineEditPost” function (located in wp-admin/js/inline-edit-post.js and easier to read in inline-edit-post.dev.js). I haven’t looked into it much specifically, but the brute force method would be to copy (and rename) that entire function and basically reverse the show/hide methods.

I’ve confirmed that disabling Javascript disables the Bulk Edit functionality entirely, so there wouldn’t really be a workaround to your override.