There is also a satellite company LeoSat that was trying to build a low latency long distance network of low flying satellites with laser links between them. Guessing that's a "tad" :-) (few billion) more expensive than a pair of shortwave transceivers. But if money is not an issue they say they can do 1.5x faster than terrestrial speed:
http://leosat.com/media/1115/leosat-finance.pdf
100ms NY to Tokyo, for example. Not bad.
They are. See mshook's response, with nice reference links downthread: https://news.ycombinator.com/item?id=16196339
The lower you go in frequency, the less bandwidth is available.
The entire "HF" spectrum is ~30 MHz. My Wi-Fi at home uses a wider channel than that.
The lower frequencies -- that will travel across the ocean, unaided -- don't have anywhere near the bandwidth necessary (to support the throughput that they need).
I suppose low-orbit satellite-to-satellite would probably beat fibre for anything over ~4000km too.