I understand sis, I don't have any brothers or uncles who are close enough to me, so it's just my father who can take us around when he can. I think the only times I've ever had to face Islamophobia was when I was out on my own. So another way to go out is with another woman - do you have any female relatives or friends or Muslim sisters you can go out with, maybe coordinate your shopping days together?
As we recommended before, usually wearing a hat over your hijab makes it much less 'obvious' so to speak. And if you're not used to wearing the jilbab/abaya, try to start by wearing long skirts with a loose top on inshaAllah.