is there any way to set an ACL (or any other permission) that denies some groups the right to export contacts during Advanced Search, while still allowing the search to take place...

I'm aware that I'd need to accomplish this by permitting specific groups to do this (if the feature exists), thereby denying others the permission.

I couldn't see this option in the ACL setup process, http://contemplationonline.com/civicrm/acl?reset=1.

Thanks!

(Civi 4.6.14, Drupal 7.43)