During the daytime, laser pointers aren't very impressive due to all of the competing energy from the sun, of course. Whether you use mirrors to try to use some of the energy from the sun to send it back out, it would obviously still pale in comparison, except perhaps for the observer flying high above who sees it coming from below.
What does it matter if I use the lowest divergence I can get if the beam is scattered by particles in the air after 10km?
From my perspective, that alone is good reason to reduce divergence, with all of that scattering and attenuation going on through particles in the air, the more intensity, the more which remains in the direction your are pointing. If there were 100 percent scattering or attenuation, then, of course no contest, but from what I've been able to gather, divergence causes a loss to beam visibility from the side faster than particle scattering or attenuation in normal atmoshere, true?
I bought a 6 inch (152mm) diameter lens for 10 dollars on ebay last week which has a 4000mm (13 feet) focal length, now to match it up with the right expander
Will need a tall tripod for it. I suppose I could get two 8 foot sections of some kind of tubing and make two sections out of it which are about 6.5 feet long each for portability. I don't think I will be using a tripod tall enough to allow me to point near strait up, at 45 degrees elevation max it won't need to be so tall.