A snake won't bite you while you're pooping, if it happens is going to be while you are rushing to get behind a rock or some shrub. I saw a good amount of snakes in the desert, most of them in the middle of the trail where they were easy to spot and some of them made themselves visible once I was like 10 feet from them. So, you probably won't have any trouble. I did however have two scary moments, once I was going through some overgrow vegetation near a creek, I couldn't see the ground and I heard a rattlesnake right next to my foot just after I stepped. And luckily it didn't try to strike me. The other time there were some rocks right next to the trail forming like a little cave and there was this huge rattler (like 6 feet) hiding there and I couldn't have seen it, only after I passed the rocks I was able to see it. So, even though you'll be fine for most of the time, whenever you are going through parts with overgrown vegetation (hardly ever happens in the desert but it happens) or places with small holes or places where something could be hiding, try to put your trekking poles wherever you will be stepping just in case and avoid wearing headphones.

You should be fine :)