LO has yellow crusty skin that's red underneath that our pedi labeled eczema

it's only on the back of his head and worse on the sides of his face where sideburns would be. Any suggestions to lotions that have helped? Pedi said hydrocortisone but i want to avoid steroid creams; plus she said it would only help with the redness. Poor LO must be miserable

Edit: added a pic on hopes of deciding whether this is actually eczema or cradle cap
Re: Eczema suggestions (update:pip)
Sebastian: March 3, 2010
2nd Tri Angel Baby: November 2012
McKenna: December 2, 2013
LO does rub at it a lot and irritate it when he tosses and turns his head at might so maybe that is why it's red?
thanks for the suggestion, I will try it!
He gave me this same advice about the hydrocortisone but I would like to avoid it as well. I exfoliate it with a warm washcloth ( the dr said this may make it worse but it seems to help) then I use coconut oil and aquaphor.
The only problem is whenever it seems to be almost gone it comes back full force the next day. I'm curious to see other peoples solutions.
Stephanie (32) & Andrew (34) - Married 6/18/09
BFP 3/23/13 | EDD 12/1/13 | Logan was born 12/3/13
12/3/13 
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BFP 7/20/17 | EDD (LMP) 3/24/17
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@KateMW I will end up caving and try the cortisone if the other attempts don't work. It's good to know it worked for you. I don't want him to suffer forever or for it to get infected.
@KateMW I will end up caving and try the cortisone if the other attempts don't work. It's good to know it worked for you. I don't want him to suffer forever or for it to get infected.
CP: 01/2011 | MMC: 01/2012 | MMC: 10/2012 | DS: 11/2013 | MMC: 11/2014 | DD: 01/2016
BFP: 06/2018 - EDD: 02/09/2019