Yup. That's some tough water to work with.

I actually wish I had some here, so I could test some of the methods we've recommended easily. It would be a pain to mix a batch that duplicated that! But, I don't wish it on pool owners!

Anyhow, you certainly can't solve your problems by draining and refilling. And, unfortunately, there aren't any handy-dandy chemical treatments for calcium -- or at least, none that I'd want to swim in! There are 2 options for you.

1. Lower your TA to 60 - 70 and keep your pH below 7.6. That should be fairly easy.

2. DELIBERATELY precipitate the calcium, let it settle, and then vacuum it out. Doing this is rather a pain.

Once you've done either of these, IF you have a sand filter, I think there's a long term option that can make maintenance relatively easy.

Assuming you are going to pursue the easier option, you need to read about using muriatic acid safely, and about lowering alkalinity:
http://pool9.net/ma/
http://pool9.net/alk-step/