I work for netlify, and yes, we ask you to upgrade, don't just turn you off if you go over.
All per-site addons focus on different kinds of dynamic features (Forms, Identity, Functions, ...) I suppose a Team account would work, but that also seems like paying for unneeded features.
The support team just linked me to the pricing page.
I know it's probably not worth it for you to do such a thing but an optional pay money for nothing extra compared to the free hosting option would be great