I'm late to this, so there are already many suggestions - some rational, some less-so… but…
All other theories/pitfalls aside [& no, I don't think this is even possible in ideal conditions*] what about the cross-winds?
How are you going to aim this thing? … & aim it you must, beam-form or 'massive not-thought-through-properly hifi', you have to be able to direct this energy or you may as well drop leaflets [which could also land several hundred miles away from that height].
At altitude the jet-stream can reach speeds of 275mph. I don't really need any math to know this is not going to help your transmission, especially through low-pressure air at those altitudes.
Think up another idea. This one has not a hope of working.
*Suggestions that it could reach the ground still at 85dB SPL allow the possibility that out in the quiet countryside, you might notice something distant has made a sound.
Consider what thunder sounds like from a couple of miles away [you can count between lightning flash & sound as 5 seconds per mile, roughly] - a low rumbling boom. Yet if you're unluckily close, it's almost a single pulse of energy, a massive deafening spike of all frequencies at once [170dB SPL or more].
The rest is the dissipation & echo/reverberation that happens in just a couple of miles.
Douglas Adams came up with a fabulous bit of 'handwavium' - no explanation anywhere as to how it was achieved, when the Vogons arrive to tell us of Earth's impending destruction…
Then there was a slight whisper, a sudden spacious whisper of open ambient sound. Every hi-fi set in the world, every radio, every television, every cassette recorder, every woofer, every tweeter, every mid-range driver in the world quietly turned itself on.
Every tin can, every dustbin, every window, every car, every wineglass, every sheet of rusty metal became activated as an acoustically perfect sounding board.
Before the Earth passed away it was going to be treated to the very ultimate in sound reproduction, the greatest public address system ever built. But there was no concert, no music, no fanfare, just a simple message.
“People of Earth, your attention, please,” a voice said, and it was wonderful. Wonderful perfect quadraphonic sound with distortion levels so low as to make a brave man weep.
“This is Prostetnic Vogon Jeltz of the Galactic Hyperspace Planning Council,” the voice continued. “As you will no doubt be aware, the plans for development of the outlying regions of the Galaxy require the building of a hyperspatial express route through your star system, and regrettably your planet is one of those scheduled for demolition. The process will take slightly less than two of your Earth minutes. Thank you.”
The PA died away.
Douglas Adams - The Hitchhiker's Guide to the Galaxy