In New Mexico, search warrants should be held at the main District Court office for each judicial district.
In the First Judicial District, which includes Santa Fe, Rio Arrriba and Los Alamos counties, they are all filed with the District Court in Santa Fe.
They are accessible in a paper format (you can ask for copies) and you can also take pictures of them.
Local rules dictate how long they are sealed for after being filed with the court.