Birth control brand for thyroid patients

lacey
Hi! I'm on Errin (mini pill) progestrin only. My Dr. Proscribed it because I have an under active Thyriod
I'm thinking about trying out a new brand. Possibly a low dose combination pill? But I'm worried about the estrogen affecting my Thyriod levels. I'm just sick of my irregular period due to my current pill and want something more effective.
Do any of y'all have hypothyroid/hashimotos and have had positive experiences with a specific brand on combination pill? 
Thank you :)