Bring a pot of salted water to a rolling boil and prepare a bowl of ice water on the side. Drop the scapes into the boiling water for 60 seconds and then remove with a slotted spoon and drop in the ice water. Remove and shake dry and add to a food processor.
Add the remaining ingredients to the food processor, slowly drizzling in the olive oil as it spins and adding the cheese last. You may need to scrape down the sides of the bowl with a spatula and spin again until the mixture is as smooth as you'd like. If you decide to freeze this mixture, simply blend it without the olive oil and cheese and add those once you've defrosted it and are ready to use it.
Serve with your favorite pasta or fresh or steamed vegetables.