Hi DREAMGIRLY,
I’m happy to let you know about the pros and cons of each of the different types of mattress protectors and help with how to choose but I don’t make specific suggestions or recommendations because you are the only one that can decide on the different criteria and tradeoffs that are most important to you.
I have never owned one myself but I do know many people that have and think highly of them. They are a little thinner and and have a little more stretch than some of the other wool quilted protectors. The 16" version would be fine for a 13" mattress (see post #2 here).
Phoenix