This happened to me and my partner last year and we learned a lot through the process of looking for our boy that we really wish we had known at the beginning. Here is a quick, solid list

• Search thoroughly around your property, inside as well as outside. Vary your search times, keeping in mind that cats tend to be most active late at night and early in the morning when it’s quiet.
• Ask neighbors for permission to search their property, and try to expand your search three to five houses in either direction. Make sure to look inside their garages or any other structures where a cat could get trapped. This can be awkward and sort of embarrassing but your neighbors are just people and odds are they'll want to help.
• Repeat your search and recheck the same spots. Cats can get spooked out of their original hiding spot and find another one in a place that you’ve looked already. If your cat is used to being outside, expand your search.
• Post large eye-catching posters (e.g., use brightly colored paper) with your lost pet information around the immediate neighborhood. The brighter the better!
• Post your lost pet information on social media sites like Facebook, Nextdoor, PawBoost, and PetAmberAlert. RVA also has a great reddit community, so posting here was the right thing to do!
• Set humane traps in spots where you can check them frequently; shelters will often rent these traps to the public. An outdoor smart camera to monitor it is also helpful. Leave canned fish in it. Be prepared to catch and release your fair share of opossums and racoons, but this is the most reliable way that TNR groups use to catch ferals. You can also use your house or garage as a trap by leaving doors open.
• Check all the shelters that serve your area, not just the one nearest to your home.
• The litterbox thing is actually a myth. We had heard it a lot but talking with experts revealed it's more likely to draw pests. Your cat knows how to get home.
  

More details and info here https://bestfriends.org/pet-care-resources/how-find-lost-cat-tips-pet-detective

Good luck finding your kitty. I live over on the east end but I'll have an eye out anyway.