I've been looking for something to do this exact thing for a while now. This is PERFECT. It does exactly what it says it will do. A million thanks!!

Edit: Has recently stopped working, I'm very sad now.

Edit2: Updated to 1.1.4, still not working, debugger says, "[Ring Reconnector Debug] Found and clicking reconnect button with text "Reconnect" (backup method)..." yet it doesn't seem to actually "click" the button.