City Based Shipping for Bangladesh provides an easy way to configure different flat rate shipping costs for customers inside Dhaka and those elsewhere in Bangladesh. Simply set up two WooCommerce Flat Rate methods in your shipping zone (one for Dhaka and one for outside Dhaka) and then configure their instance IDs and labels on the plugin settings page. The plugin will hide the wrong rate at checkout and can even override the cost and label displayed. City and state field changes update totals in real time thanks to a small JavaScript helper.

Match shipping methods by instance ID or label.
Optionally override the cost and label of each rate at checkout.
Watches the city and state fields (including Select2 dropdowns) and refreshes shipping instantly.
Tested with WooCommerce and the standard checkout fields; supports Bangladesh districts.