Nite,
You've made a lot of great progress!
You have two choices at this point. SLAM now and prepare for high liquid chlorine needed. This is sometimes tough because SLAM requires you maintain the 31 FC not just reach it. So it's way more effective if you check FC and adjust at least several times per day. Second choice is drain/replace water. In parts of the country with high water table (like us in Florida) we recommend you do this via exchange method. This method involves putting a small measurable sump pump in one end and adding water at the other end.
See here for details. There's a danger of "floating" your pool by simply draining then replace water. With all the rain we've had water tables are above normal.
If it were me, I'd probably bite the bullet and do the exchange since I'm so anal about my water balance the high CYA all summer long would drive me nuts. But you're new to all this and it may be easier just to SLAM and get the hang of this then learn about water exchange. Choice is yours.
Rest assured that once you get your levels right your pool will be super easy to maintain. Too bad you got the typical bad advice on use of pool shock and tablets but you're certainly not alone. Good news is you're pool isn't nearly as bad as it would have gotten if you continued with pool store methods. We've seen many of those that start here with super mess of green pool. Whichever choice you make on the next step you'll get your water balanced once then stay with TFP methods and it'll never happen again.
Chris