Zucchini Carbonara

large zucchini (or 1 pound fresh zucchini noodles)

pieces thick-cut bacon, diced

garlic, minced 

medium onion, diced

large eggs 

large egg yolks 

finely grated Parmesan, plus more for serving 

heavy cream 

Kosher salt and ground black pepper 

frozen peas, thawed 

chopped basil