I think trapping sounds like a good idea. Give it a shot and report back here with the results.
As for pet psychics, I’ve heard nothing but good things about them. I was just reading an Internet account where a cat that had been depressed had several sessions with a pet psychic. Turns out that the spirit of General Custer had been reincarnated into the cat. The cat (General Custer) was depressed about his last stand. After several sessions, the cat was able to work out the repressed issues from its past life and its depression lifted. I would say spare no expense when it comes to pet psychics. Your cat will thank you for it. If not in this life, in the next one.