No mileage restrictions, but there is some blip about not using it as an everyday driver. When you do the renewal through the mail, they ask for the plate number of your daily driver.
Historical Vehicle plates have a mileage linit of some type, but nobody really pays attention. I've seen rot-buggies driving in winter with Historical Vehicle plates.
Go to
www.OPLATES.com and read about Collector Plates. I do not recall if they mention they are emissions exempt, but guaranteed they are. I've had them for 2 years now. Some of the stuff on the site is wrong...like being able to go to your local BMV and getting the plates.