Unfortunately, cats are not like children who go looking for friends. And most cats do not go searching for their previous home. Bengals are very quick about getting outside -- and when they are unfamiliar with the area, they generally do not travel far. Hopefully, you have been out there looking for her. If you changed her name, she may not be familiar with it if you call her. Your best bet is to look high and low and cover as much ground as you can. She may be terrified out in the big world. Carry (shake) a bag of treats or the smelliest food that you can find -- fish mostly. Put out some scents for her -- clothing that you have worn and not washed. They claim if you put the litter box outside, she can smell it from afar -- but some cat professionals claim that is not true. If nothing else, you can usually find a humane trap and put some really smelly cat food in there and see if she comes back and trips it closed. You can also catch some other critters like raccoons and possums.
Since she is not familiar with the outside, it is doubtful she will return to your front door, although that is possible. It's great that you want to walk her on a harness and leash, but that only reinforces the desire to go outside when the door is open. My bengal a great escape artist and many time I have to shut him in our bedroom in order to come and go through the door (like bringing in groceries).
I suggest a couple of things. Microchip the cat. Also, put a collar on the cat with your name and phone number. If she loses the collar, get another one. You want to make it easy for someone to return her if they find her. Also, there are tracking devices out there -- some cheap, some very expensive. However, since your baby is not generally outside, it probably would not be worth it to invest in something that she would have to wear around her collar and worry about batteries being charged.
I'm hoping you are able to find her. The neighbor with the bengal may be able to help a little. If she hasn't returned yet, make flyers with her picture and hand them to neighbors. Ask them to check crawl spaces and garages as a cat may seek shelter there. Please keep us posted.
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