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I put the jack stands under the suspension arms when changing shocks. You definitely want weight on the spring so that the shock isn't what's holding the arm up.
Then how are you going to safely decompress the spring after you remove it? If you just pull it out it will shoot off with the force to cause some serious damage.
You don't need to remove the spring to replace the shock. The only reason for the jackstand is so the spring will stay put when the shock is removed. As said above (although difficult to decipher), spring compressors (decent ones at least) go INSIDE the spring, necessitating shock removal first anyway.
Oh, I though we were still talking about the coilover conversion. Yeah I was going to do exactly what you said when I replace the shocks, I already have it on jackstands and now I'm just waiting for fed-ex to deliver.