Howling Mine

• WWizards of the Coast2004-10-04
  Official Ruling
  If Howling Mine leaves the battlefield before it resolves, then the last known tap or untap state of the card is used for resolution.
• WWizards of the Coast2004-10-04
  Official Ruling
  The additional draw is separate from any other draw during your draw step. It happens when the triggered ability resolves.
• WWizards of the Coast2004-10-04
  Official Ruling
  It does not trigger at all if this is tapped at the start of the draw step, and it checks this again on resolution.
• WWizards of the Coast2013-04-15
  Official Ruling
  The triggered ability is put onto the stack after you have already drawn your card for the turn.

Rulings via Scryfall