Funky Curves on a Drum Hoop

I'm trying to recreate a snare drum hoop.  This seemed like a quick project for me, but is turning out to really confuse me.

Note - this is only for visual reference and renderings - I'm not trying to produce these.  

What I have attached is what I've come up with so far - this shows the basic hoop, with one "ear".  I'm not really stoked about the geometry of the ear, but visually it's OK.   I can not figure out how to pattern this around the hoop- it keeps giving an error.  I'm wondering if I've done something fundamentally wrong with the way I went about it, and if that's why I cannot pattern.

Any ideas on a better / more accurate way to design this?   I believe these hoops are pressed in one or two steps from sheet metal - I'm not sure if a custom forming tool could work here, I haven't really used them in SW before.

Thanks!  SW2018 SP5

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