Can you add a custom class to a product detail page?

I search how to add a custom css class to some product details page to be able to make some distinction between some products.

I was thinking at something that add a custom css class to the <div class="class="product-info"">

SUGGESTION:
That will be a great addition to add customizing power to Product details.

In fact, what I want to do is to add an info to product price when the price shown is a “Starting price” depending of options

I already did an HTML override:
 
I use this code in the layout to be able to translate
 

Now I need to be able to hide or show this depending on the product.
Having the ability to add a custom class on a specific product will make that easy (e.g class: price-from-show or price-from-hide)