That’s awful; having your cat bolt on you is a scary experience. I hope the cat is chipped so that if it’s caught, someone will call.
You should try the trap, as suggested (with your cat’s favorite food or treat); just be aware of racoons and their love for cat food, especially. Oh, and always check a trap every 1-3 hours while it’s armed. Keep it out of direct sunlight exposure (if we get any) and the elements. Some animals prefer it if the trap is covered; you’ll have to experiment.
Good luck in getting your cat back. You should let everybody know if it’s advisable to try and approach / pick up your cat if spotted or if they’re more the type to run and hide.