1. I rolled my ankle when jogging. Result was a severe sprain and chipped a bone, too. I went from crutches to riding again in about a week, maybe 10 ten days. My doc gave me an ASO ankle brace . It provided excellent support and I don't think I would have been back on the bike as quickly without it. It's not too bulky and I was able to wear it with my cycling shoes.

2. In my personal experience, there's no such thing as a quick recovery from an ankle sprain. You just need to take it slowly and be careful not to re injure it. My doctor suggested taking Vitamin C supplements, which I did. I don't know if it actually helped, but it can't hurt.

I'd also suggest checking out Youtube for ankle sprain rehab exercises. There are a lot of good sources which can give you suggestions from easy stuff to do in the days right after the injury to more advanced things down the road when you have full ROM. The more advanced exercises will also help you avoid getting another sprain in the future.

Good luck!

Edit to add: I heard it's important to start using the ankle again, quickly, as well. Caveat being don't over do it. Doctor wanted me off the crutches just as soon as I could bear weight on the bad ankle.