First off, since Domink Hasek is a goalie, it would have been truly remarkable for a goalie to get a Gordie Howe Hat Trick. Same for a coach or a referee.
Mike Modano, a finalist for the Lady Byng in 2003, scored 561 goals, 813 assists and 930 pim in his career. He had a single NHL fight. It was against Rob Brind'Amour on October 20th, 1990. Modano had no points in that game, and thus never recorded a Gordie Howe Hat Trick.
Toughness is a characteristic that is often used when describing Peter Forsberg's game, but fighting is not. Forsberg scored 249 goals, 636 assists and 690 pim, but only one fighting major. His single fight, which the linsemen stopped before it began, was against Martin Lapointe in 1997. Still no GHHTs for the class of 2014.
The last inductee to be checked for GHHTs is Rob Blake. Blake finished his career with 240 goals, 537 assists and 1679 pim. Blake played a physical game and had 24 fighting majors, including two during the playoffs, and yes he did GHHT.
So that's it for the class of 2014, three skater who combined for a total of two Gordie Howe Hat Tricks.