Nice try, however, this is based on experience.
Pyrotechnic white smoke uses a vaporized scattering material, something like ammonium chloride or zinc chloride . It is too dense, and usually strongly adsorbs the beam. It is very hot and does not diffuse well, rising rapidly.
Pyrotechnic colored smoke uses a vaporized dye, and strongly adsorbs the beam. Fluorescent dyes used in smoke, even rhodamine, do not glow when vaporized in air.
The amusement park/theme park solution of using large amounts of airburst pyro at altitude works, because gunpowder smoke is about the right size and the blast distributes it. Even then, they use distributed fog machines, and fans to aid in dealing with shifting winds.
Steve



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Probably some smoke of the BBQ will still hang around too. Maybe it's worth testing 
