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You are correct that the drain line is frozen oven. If you look at part number 97 in the diagram below, this is the part you need to remove so that you can see the silver evaporator and the drain trough below it. Pull all the drawers out and remove this panel mounted to the center of the back wall inside the refrigerator section. Pour hot water down the drain hole until it's draining properly again. Once it's draining properly blow compressed air down to make sure it's clear. If you don't have compressed air, use a turkey baster to make sure the drain line is clear and draining properly.
Samsung also designed a little part to fix the issue from coming back. Order part number da61-06796a which clips onto the heater above the drain hole and then extends down into the drain hole to prevent the drain hole from freezing oven.
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