Don't use GoDaddy though. I was searching for a domain on that site and after a few minutes it was taken.
There are reasons to avoid GoDaddy, but what you experienced isn't really a GoDaddy-specific problem. If a domain gets registered on one provider, it will be unavailable on all providers. Unless you are accusing them of falsely saying they were taken but are available for purchase at a premium. I don't think I've heard of them doing that, but who knows what kind of greedy tactics corporations will try these days.
Your skin is crawling? That's not what skin is supposed to do. You should sell it. I know a website that will buy it from you.