I've killed quite a few with a bow, but I do use a blind. Much harder to kill one without a blind. I hunted without a blind for a number of years without killing a bird. I could get them close, yes, but very difficult to get drawn on them. The few times I did, I think I was so surprised that I rushed the shot and missed the bird.
In general, just saw fewer turkeys while hunting without a blind as well. I think that's because they saw me move and slinked off long before I ever knew they were in the area, and sometimes even when I did know they were nearby. It's pretty easy to sit relatively motionless the first hour or two after fly down, but if one doesn't make contact with a bird then, it can turn into a long sit. That's when my movement increases, and I'm sure a lot of birds saw me and stayed out of sight during those situations.
Don't think I'll go back to hunting without a blind. I like to eat turkey too much, but I admire your determination and wish you good luck.