I don't think AAA will advantage you over AAB if you're gap yearing. What would really help you, rather than getting all absorbed in the grades, is taking a good, long, honest and frankly uncomfortable look at why you didn't get any offers, because it obviously had nothing to do with your grades if you're predicted AAB.
What is your work experience like? What do you understand about the medicine curriculum both in general and specifically at the medschools you're applying to? What are the medschools you're applying to unique strengths? How did you organise and word your personal statement? How do you come across at interview? Too arrogant? Too timid? The question mark button on my keyboard is wearing down so I'll stop, but that should be enough for you to be getting on with.