Your plan sounds right -- maintain it at shock level. Test and dose it with bleach 3 times a day and run your pump 24/7 while you are trying to clear the water. Don't worry about the stabilizer right now. You can add it once you get your water cleaned up.
It's only Monday. You may be able to swim by the weekend if you really stay on top of maintaining shock levels. Keep your fingers crossed! And, there is no reason you have to only dose it 3 times a day. If you are home and can do it more, then do it. It will only serve to clear the pool quicker.
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