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 )
whirlsandcurls YouTube
BSL+, 3b, fine/medium texture&density, auburn

After 4 years of hard work,
I healed my curls from 2c to 3b!

Currently head over heels for the
Squish to Condish Method!

Loves: KCKT/KCCC, Ouidad Moisture Lock, Ouidad Heat & Humidity Gel,
As I Am Leave-In, Ecostyler, Miss Jessie's Multicultural Curls,
AG Re:curl + so many more