I think I found my husbands grandmothers carrot cake recipe but it doesn’t say what type of pan to use. My husband swears that she used her pound cake pan (tube pan/angel food pan) for all cakes she made. However the recipe says to cook the cake for 30-35 mins at 350 degrees and I don’t feel like 30-35 minutes would be enough time in a tube pan? I have attached the recipe. What do you guys think? Should I just use 2-3 single layer round cake pans? 

It should definitely be made in regular cake pans and stacked and frosted.  In her instructions, she even says to spread the frosting between layers.  I guess it is possible to bake a carrot cake in a tube pan, but then you wouldn't have the yummy cream cheese frosting throughout the cake.  This recipe will probably fit two 9" round pans.

That recipe reads like a sweet bread sometimes called a “tea cake”   It most certainly can be baked in “regular” round pans if you want:)   Time & temp notes would be right   I’d increase the cinnamon to Tablespoon :)