I agree, I don't see a way that your curls could be relaxed without some kind of chemical treatment. It's not all that bad, as long as you do it the right way. I had a chemical straightening done when I was young because my hair was unmanageable, but I honestly regret it and wish I hadn't done it.

How long is your hair? Sometimes very coily curls look amazing when they are short, almost afro/halo kind of style? That way you would be able to keep your curl and just kind of let it do what it wants(so annoying right :P )
Went from 2c to 3b/c after 2 years of hard work!
Medium density and texture

Currently in love with the Salma Hayek Nuance Blue Agave Curly line
SM Curl & Shine Low poo - HG forever and always
KCKT as leave-in
Miss Jessie's Multicultural Curls, AG Re:curl, Argan Magic Defining Cream