Let the birthday person have it. You can bake another one Ohio State Buckeyes vs Alabama Crimson Tide 2021 National Championship game Miami Florida Hard Rock Stadium 2021 shirt, and they will always remember how sweet it was to get a cake as a gift. A baker (even an amateur one) who demands the leftovers is a stingy, mean person. It’s just cake, it’s not your firstborn child, for crying out loud. I find that the main factor involving the browning of cake batter, or the cake itself after cooking, is not the type of cake pan or the exponential transfer of heat, but rather the main heat source itself. Basically, what I’d like to picture is an oven set at 180 degrees celcius, as compared to an oven, or a wood oven, set at 300 degrees Celcius. This might seem rather exaggerated, but it is what it is. The temperature of the surroundings is more important than how good of a conductor the material of the pan for which the cake is baked in.
That to be said, any material which is a poorer conductor of heat should work. Depending, too, on the temperature of the set-preheated oven, glass or any other highly combustible material is highly unsuitable for baking. Metal or aluminum foil pans are actually also quite good for baking, although they are, actually, rather good conductors of heat. This is due to the even distribution of molecules in the crystalline lattice structure of the metals. Heat can travel through these materials much more evenly than in others such as glass or plastic (and both are highly not recommended to be put into the oven for fear of explosion under intense heat or food poisoning). In conclusion, I would like to reemphasize the point that it is not only the pan that matters but more importantly the temperature of the surroundings. Also, for even expansion and rising, use a crystalline solid.