My Lake shoes came with a cover, but it is slick, because it is a plastic, and not the same rubber as the rest of the sole and I prefer going without it.

The advantage of this style shoe is the cleat doesn't hit the ground or make you walk like a duck. Therefore the rest of the sole should stand up to walking without a cover. I would just use them without a cover (after removing the plate to keep the threads clean for when I did use them to mount cleats).