Premonitions, prayer and revelation following my determined effort to solve this case.
The problem you have is huge gaps in your knowledge of the case. The first step should be getting the sequence of events and facts into your mind, then going from there. Premonitions, prayer and revelations never solved any criminal case as far as I know.
Police officers sometimes have moments of serendipity, such as that by an officer in the terrible case of the murder of a priest by Patrick Mackay in the 1970's. They were clueless until the officer remembered Mackay stealing from the priest 18 months earlier. They found him, questioned him and he confessed. The policeman knew his job, his 'patch' and had a good memory for facts, though. His hunch was the result of all that. Mackay is still serving his 'full life' sentence.
https://en.wikipedia.org/wiki/Patrick_MackayI have a favourite bit from Kate's book. Gerry's uncle visits and collapses with a heart attack. Gerry phones for help, the man delivering the Chinese meal rings the doorbell and;
Amid the pandemonium, Madeleine appeared, pushing her Early Learning Centre medical trolley, placed her toy
stethoscope on Uncle Pat’s chest and said, ‘Boom, boom!’ Talk about surreal.
[Madeleine]
A glimse of the real child who disappeared and the type of story that becomes part of family history.