Laumape did well four days after playing the Lions for the Hurricanes, and is a possibility, but another bench spot might be considered a safer option.
Crusaders midfielder Goodhue, included in the squad at the start of the series as injury cover, has an exciting future, but a test debut in a series decider against the Lions must be considered a big roll of the dice.
Williams' act changed the nature of not only the test but also the series, and while he has the mental strength and maturity to bounce back from it, others younger and with less experience may not.
The 31-year-old's immediate future was decided after a two-and-a-half-hour hearing at New Zealand Rugby's Wellington headquarters, with Lions flanker Sean O'Brien following him in for a hearing of his own after being cited for making contact with Waisake Naholo's head in the final minutes.
Assisted by legal representative Steve Cottrell and assistant coach Ian Foster, Williams faced an all-Australian judiciary of Adam Casselden, David Croft, and John Langford, who decided that his actions were in the mid-range in terms of foul play.
Before leaving for a flight to Auckland, Williams said he was disappointed at his actions and that he felt he let the All Blacks down.
"Obviously I'm really disappointed but happy to be able to get in there and say my piece," Williams said afterwards. "They've come to the conclusion that it was reckless, that it wasn't intentional. I've got in contact with Anthony and I've apologised to him but I'm very disappointed that I was sent from the field last night and that I let my brothers down."
Earlier, coach Hansen said: "One of our biggest mantras is 'team first' and he knows he let the team down but we can't go back and change it either.
"People make mistakes. It's a fluid game, it's a fast game, it's a physical game and unfortunately he made a mistake and we've got to move on from it."