I have no idea how to convert a visible illuminated white surface into something else like power or whatever. It will definitely depends on a lot of parameters, especially the material of the surface. If you could formulate your question in terms of beam intensity or power...
With the information about a range of at least 90km I wanted to show that this beam travels 90km and is still strong enough to excite the sodium layer in the upper atmosphere so that you can see the emission of this layer back on earth with your nacked eye. Based on this I would bet that this beam will be able to illuminate a white surface at least 90km away in the horizontal, so you could see it. How much more than 90km, that is something I can't say.
Singlemode