What is the best way to tape a sprained ankle for support during recovery?

OTC Ankle brace. You're better off using an otc brace or splint that trying to tape yourself up at home. It's not as easy as the professional trainers make it look. You could also just see a podiatrist - many of us stock simple braces for simple sprains. These will protect the ligaments of the ankle - that's what they are designed for.
Easier to . Just buy an ankle brace.