Most corn snakes will readily accept frozen and thawed mice. However, you can find the odd one that refuses them and wants only live. But you can also find the odd snake that will even have a color preference, refusing to eat, say, black mice.
The mice in your attached photo look like they are adults. Have you tried any of the companies based here in the USA, like RodentPro and The Mouse Factory, to see if they can ship to your location? I only mention this if you get a snake that cannot handle adult mice as you'll need another source of mice of the proper size.