You can set-up in-cart conversions as well as offer discount codes at the same time. The drawer can be fully customized to suit the theme of your store. Let me know your thoughts!
I took a look at your shop and think it’s fantastic. I can see several areas where customers are encouraged to follow social or reach out for support and think you’d benefit from enabling Shopify Inbox. This gives your customers direct and live access to your support via chat - learn about the benefits here and see what you think!