I've been using a plastic plow for decades. Solotec plow has been out of business for many, many years, although having won design awards for the plow. My driveway is a dirt driveway about 600 ft.
https://daed.com/experience/37
The following is not my video, and it staightens up, but gives an idea of its plowing capability.
https://www.youtube.com/watch?v=j7mIMgV5TRw
Just "straps" to the car. I used to clip under the car with stainless steel wire that I left strapped onto the car frame. Might scratch plastic bumpers. I had put carpet remnants on the ends of the plow to help prevent scratches. I now have a tractor with bucket and the plastic plow fits right into the bucket. I realize I can plow with the bucket, but this is so much easier and I might as well use the plow I bought many, many years ago for $200. Delivered by mail to the house in two bags, half plow each and pinned in the middle. I think the weight was/is 70 lbs.
There are other products that you might consider.
https://www.youtube.com/watch?v=p-CRm28uq4A
Steep driveway ... first plow pass, down the midddle of the driveway... back up (chains on the car)... hit the sides of the driveway.