Hide application under cursor

I find the ability to close windows under the cursor very helpful when in exposé. Sometimes, however, I want to get some windows out of the way without closing them. Being able to hide the application that the window the cursor is over belongs to, would therefore be a really helpful thing for me. (BTT doesn't seem to be able to do this today.)

Use the attached actions:

  1. Left click
  2. ⌘H
    This should do it.

I wanted to assign clicking the yellow button on UI Windows to hide the window, instead of minimizing it.

I can't find "Hide App Under Cursor" similar to "Quit App Under Cursor"

chaining left-click and ⌘H won't really do it. Any tricks? Feature request?