Jacob Lagace scored his second goal in as many games for the Amerks. Riley Boychuk (his first career AHL point) and T.J. Brennan added assists.
Crawford's power play goal at 15:02 of the third period forced the OT, giving the second year defenseman points in three straight games since replacing the injured Drew Schiestel (knee) in the Amerks lineup.
Matt MacKenzie finished even with a shot on goal in his AHL debut.
Lagace: 1G, +1
Parker: SHOG, -1
Boychuk: 1A, +1
Brennan: 1A, 2 SOG
MacKenzie: 1 SOG
McNabb: -1, 4 SOG
Foligno, -1, 2 SOG
Following the game, the Amerks learned that two of their players have been suspended for actions in Sunday's 7-2 win over Grand Rapids.
Marcus Foligno will sit for two games after being whistled for boarding Garnet Exelby at the end of a foot race for a puck.
Parker was assessed a one-game punishment after cutting a Griffin forward with a high stick.
Elsewhere Tuesday, Nathan Lieuwen made 27 saves but suffered his second regulation defeat of the year as Kootenay came up short against Medicine Hat, 2-1. The ICE return to action Saturday when they host Moose Jaw.
Joel Armia snapped his three-game point drought with an assist as Assat downed HPK, 5-1. The 18-year old wing, who has been skating on the Aces third line for the past few contests, has scored just one goal on 62 shots this season (1.6%). Assat plays at SaiPA on Thursday.