Whichever you choose tilt the refrigerator slightly away from you just high enough to slide the protector under the front casters on the left and right side.
How to protect hardwood floors when moving a refrigerator.
A fridge is extremely heavy if you try to move it without using furniture sliders it will definitely scratch your floors simple because hardwood flooring is extremely sensitive to.
I have engineered hardwood floors in the kitchen.
Use a floor protector to prevent damage to your floors when moving a refrigerator out from the wall.
Moving fridge on what thickness of masonite.
I saw your suggestion to try masonite sheets from a big box store to protect the floor from dents.
Another option is to use felt furniture slider pads and spare laminate flooring panels.