Hey Tim,
I would have a page for everything you offer. That's by far the best strategy. So on your Invisalign page have a picture of Invisalign and don't mark it as dentist schema mark it as product. I think the dentist schema is rubbish myself. You're much better off using an image of All on Four on your All on four product page and marking it up that way.
Nobody is interested n your brand and logo if your a small local practice. They search things like 'Braces New York' and want to see the options for all the braces you offer or your orthodontist.
I use the data highlighter for this because it gets us better results. On the homepage you can't get review schema to show stars and all you're going to achieve is getting your logo up there when someone types in the name of your dentist so what's the point?
Go for unbranded products and keywords and mark them up with price, availability and an image with an alt tag with your location in it. that works for us.
Sometimes having dentist schema in the site wide footer just overrides our product schema for the services pages so I don't use it. For your dentists mark them up individually as people with their headshots there and what they do and their postnominals and qualifications.
Also make sure your GMB has orthodontist, endodontist, oral surgeon etc so that you show as an orthodontist in the maps when someone types in braces. Also having reviews mentioning the products helps.
Google ignores about 70% of our mark-up anyway and I think it's becoming less important as google figures out what things are and what they mean. But a granular approach works the best. So one page for everything you do with the dentist as author marked up with the products they offer marked up and then it makes the dentist one kind of obsolete.
This is just my experience in our practice but we're ranking number one for pretty much everything now. Interestingly we're not doing so well for just the term 'dentist' but on the other hand we're ranking really well for 'emergency dentist' and I think the two might be competing with one another. Emergencies is much higher volume and makes us more money. being number one for dentist didn't actually get us many good patients.
Being number one for Veneers Cost or Invisalign or Fastbraces or Emergencies does. So perhaps focus more on those. Dentists make the big mistake of putting everything they do on the homepage and that is a big mistake because you can never compete with my specific page that answers a customers specific dental query. If I had toothe ache I'd google painful tooth and google returns our emergencies page. I don't google 'dentist' If I need braces I google braces - not 'dentist'