Carmack-Altwies did not confirm the charges she planned to bring, but wrote that she was "certainly looking (at) all the homicide statutes and any gun statutes under New Mexico criminal code".
"One of the possible defendants is well known movie actor Alec Baldwin," she wrote, before adding that there could be four separate criminal trials.
AP reports that the state granted her request for the funds, with its Board of Finance granting over US$317,000 ($561,917) to cover the costs of prosecution.
Meanwhile, the family of Halyna Hutchins is pursuing their own wrongful death lawsuit against Baldwin. Earlier this month, a judge ruled him primarily responsible for firing the shot that killed her on the set of his film Rust last October.
It comes as Baldwin placed his biggest asset - his US$29m ($49m) Long Island estate - on the market.
Legal experts told the Daily Mail that the decision to sell his Hamptons estate may be part of an effort to shield his assets from expensive lawsuits.
The timing sparks speculation that the actor is preparing for a potential reckoning in the courts.
He bought the estate in 1996 for US$1.75m ($2.9m) and listed it last week for around 16 times that amount.
Experts speculate that it's a sign Baldwin is looking to shift his wealth into more protected assets, such as trusts for his children or real estate in a state that protects properties from creditors.