My concrete front porch ( which faces west) has sunk into an angle that tips (rainwater, etc) back toward the house. Mud-jacking it up in the rear would be impossible because of the doorstep. My son has suggested covering the porch with non-skid ceramic tiles in a decorative design, underlaid with enough mud to make it level, or slightly tipping away from the house.
I love this idea, but is it workable? The amount of mud needed to make the porch level would be about 1" to 2 inches at the lowest point. How about weather considerations? I am located near Detroit.

I appreciate all advice,