Nursing without a cover.

An
Little one is 4 weeks old, so I have only had to nurse in public a couple times so far. I tried out two different covers; the infinity scarf one, and the one that goes around your neck, with the plastic piece in it to keep it held out a little bit to see little one. Well, I had a hard time seeing little one with either one of them, because my boobs are so damn big, so the fabric constantly drapes over her face, no matter how many times I fix it. Now when I say big, I mean HUGE. I'll attach a picture for reference. 
Now I'm just wondering how many other moms with HUGE boobs feel comfortable nursing in public without a cover, because using a cover is proving to be such a nuisance! I'm hoping if I hear enough feedback on the issue that maybe I too, can feel comfortable enough to nurse without a cover.