E.B.
i did carrot cake for my daughter but i made 2.
i made a small one for her exclusively with no nuts in it and one the traditional way with everything.
as far as the frosting went i just did basically a skim coat(just enough to cover the cake and have it look like there was frosting on it) with regular frosting on her cake and on the "adults" cake i used traditional cream cheese frosting.
it was a hit with both