And the family hope to fund their legal bid with the help of their fellow New Zealanders.
Last night, they launched a Givealittle page in a bid to raise enough money to undertake their own review of the "mismanagement and non-monitoring of evil" which they say enabled Mrs Gotingco's killer to take her life.
If the review shows they have legal grounds, they will file a civil case against Corrections.
Mrs Gotingco, 56, was raped and murdered on May 24, 2014, by Tony Douglas Robertson.
The mother-of-three and grandmother was walking from a bus stop to her Birkdale home after work when he ran her down in his car.
Robertson had been released from prison just five months earlier after serving time for abducting and indecently assaulting a young girl.
He was subject to an extended supervision order, which included 24-hour GPS tracking.
But that did not stop his attack on Mrs Gotingco, whom he raped and stabbed to death before dumping her body in a cemetery.
An independent government inquiry whose report was released this week made 27 recommendations for improving the management of high-risk offenders such as Robertson.
But it concluded that Robertson, and no one else, could be held responsible for Mrs Gotingco's death.
Justice Minister Judith Collins said the inquiry found "that no aspects of Mr Robertson's management by Corrections or police provided an opportunity for Mr Robertson to murder Mrs Gotingco".
The findings infuriated the Gotingco family, who believed more could and should have been done to protect the community from Robertson.
"My heart started to bleed again," her husband, Antonio, told the Weekend Herald.
"It is an insult to my intelligence and an insult to the intelligence of the general public. I was very much surprised ... they [the government] are still in a state of denial. How can it be there were no major faults when my wife is dead?
"The inquiry was a waste of taxpayers' money ... I think it was a whitewash."
Robertson was jailed for life with a minimum non-parole period of 24 years for murder, and preventive detention for rape.
Mr Gotingco acknowledged that Robertson alone killed his wife, but believed he was "enabled" by the Department of Corrections.
"It should never have happened, and the Department of Corrections have blood on their hands," he said.
"Putting him there [in the community] was like putting a snake in a hen house. They neglected public safety."
Mr Gotingco said he would give anything to have his wife back.
"But that is not possible. So, looking forward, I'm just hoping for change, that a similar situation won't happen to anybody else," he said.
"There are no words to express the pain that our family are experiencing. I hope that no other family here in New Zealand will suffer the same fate as ours."
The only way to ensure that was to change the way people like Robertson were managed, Mr Gotingco said.
"If they [the government] continue denying that they are part of the problem they will never change. This will happen again ... it's like a vicious cycle."
Mr Gotingco said he was seeking legal advice about whether he could take a civil case. But, he could not fund that alone, so is asking New Zealanders to help him.
"We are going to undertake our own review of the mismanagement/non-monitoring of evil, which enabled him to take our Blessie.
"We are counting on your help. Even if it's only $1, it will help us ...
"We firmly believe that a civil case against the Department of Corrections is our only option, and a worthy cause of action. Together, let us show them the power of the people. We ALL deserve better."
Mr Gotingco said any offers of legal help would also be appreciated.
"Every single life is precious. I hope the powers-that-be will learn that."
• You can donate to the Gotingco's Givealittle fundraising page here.
