Thank you very much for the information!
(Indeed, as you mentioned, you are not necessarily taking the anti-cholesterol medication because you have high levels, but it is a secondary prevention: this medication has a protective effect in people who have had a stroke, so that recurrences and complications can be reduced...)
An anti-inflammatory drug such as ibuprofen (Motrin, Advil and other brands) is often suggested for this type of pain, but it is best avoided in your case given your history of reflux and stroke :/
Other options exist for pain, but these require a medical evaluation and prescription. Also, you can discuss with your doctor the possibility of taking a medication to reduce your uric acid levels, if they are high and if you are willing to take it
For now, we can only suggest that you continue to take Tylenol and apply ice for 10-15 minutes at a time, but as often as desired.