You don't need a 'deep cleanser' even if you're oily skin and travelling. Because deep cleansers are nothing but a drying cleanser which is going to strip off the natural oil on your skin and harm further. However, I understand where you are coming from. I think you should go for The face shop Cleanser. Before making a purchase, please see the video to know why I am suggesting the same.
Can you pleas suggest good face wash for oily skin .. I'm using episoft oc cleaning from last 3 years. But now it's very expensive .. please suggest something under 300-350