The USDA (United States Dept. of Agriculture) has a Technical Release 55 (TR-55, Urban Hydrology for Small Watersheds) which is commonly used to determine runoff on small sites (<100 or 200 acres).
Sheet flow by definition from the TR-55 is "0.1 foot or so".
Sheet flow is assumed to take place up to a travel length of 300 feet, but could be less, especially in a parking lot.
You could take the peak flow, determine the velocity, and then get the area of flow. If you have an inverted crown type parking lot towards the inlet, you get the area of the triangle that produces the peak flow and solve for the depth.