To disable the local search box on the homepage:
- Go to the admin edit page of your active theme under Design > Themes
- Select source
- Click the Local Search Component
- Set Hide Location Search to Enabled
You'll also need to disable the local search validation for the checkout page so your users can place an order without the delivery area validation.
- Go to System > Settings > Order & Reservation
- Under the Order tab, set Require Location To Order to NO