Ecclesiastical vs. Restored Classical: Which should I stick to for the Vatican museum visit?

I’m prepping for a trip to Rome and I’m terrified of mixing up my pronunciation styles when I try to read inscriptions or speak to locals. I've learned primarily in the Classical style, but I suspect the local environment might favor the Ecclesiastical standard. If I only have 20 minutes a day to drill, should I prioritize one variant to avoid looking like a total beginner? I am asking specifically about learning Latin, not a generic study routine.