I need to get three sheets of 1/2" plywood home from Home Depot. If I ratchet strap them to the top of my mazda 5 and take it slow (like 30mph tops) will that work?

I really do not want to have to get a truck. it's like 2 miles away from my house

Even if you use a blanket there's a very good chance you'll scratch your roof loading or unloading, assuming you don't have a rack. Also if you have multiple sheets make sure they're secured together in addition to being secured to the car (middle one slips out). I am prone to this kind of silliness myself (one carried a giant baby pool across the city via backroads), but I would recommend the truck.