I have sprained one ankle after another beginning with high school football and basketball. It can take 4 plus weeks for the sprained ligaments/tendons to heal since they do not have direct blood flow.
Sounds like you had multiple turns within a short period which makes things worse for rehab. You might want to see a podiatrist who has a sports practice and have the ankle evaluated. The worst thing for your ankle now is another sprain.
I always travel now with an Med Spec ASO brace. The ASO braces help with compression and some stability, much like a solid taping you might get from a sports trainer for a team. See https://www.amazon.com/Med-Spec-Ankle-Stabilizer-Black/dp/B00TZTO0QC/ref=sr_1_5?crid=3PJS8PO5XXDJ&dchild=1&keywords=aso+ankle+stabilizer&qid=1625602859&sprefix=ASO+an%2Caps%2C239&sr=8-5.
If the swelling is gone after the third or fourth day, too much icing much will slow healing. If rotation causes pain, one rehab exercise you could try are heel raises, where you simply lift your heels off the ground and work the calf muscles. This drives blood into the ankle to promote healing and strengthens lower leg to promote stability.
AirCast and AirGel are the next step up in ankle braces but they totally immobilize the joint which is probably not recommended.