Combine the eggs and sugar in the bowl for a stand mixer and whip with the whisk attachment until pale yellow, thick and tripled in volume, about 10 mins.
Line a medium/large metal bowl with plastic wrap. Soften one pint of ice cream (vanilla) until spreadable. Spread the ice cream into a thin layer all over the entire lined bowl.
Make sure the cake pan you select fits at the bottom of the bowl you’re using to assemble your Baked Alaska. If it’s not a perfect fit, you can trim the cake rounds as needed.