Lets Fly,
HF requires a lot of power to transmit, so big batteries. HF, as noted, can skip, and it can go through mutiple skips. Depending on the frequency, you may have great comm out at 2000 miles, and nothing between, or any other combination. When I was in Kodiak, I could talk to KMI the marine operator in San Francisco routinely, but rarely be able to talk to someone on the other end of the island. The "right" frequency is essential. Finally, you and your station must be licensed to communicate on HF. And, the equipment isn't particularly cheap. An antenna for the ground site is also going to be pretty large. As in 80 or 100 feet long, again, depending on frequency.
Buy another satellite phone--it'll be cheaper and a LOT less hassle in the long run.
Gilbert, I don't think most of the long wire antennas I've seen and used on aircraft were modified ADF antennas--they were dedicated HF comm antennas. Most run from the cabin aft to the tail, then out to one wingtip. Even the old ADF sense antennas generally only ran from the cabin to the tail. Takes a bigger antenna for HF. I believe antenna tuners have gotten smaller and better over the years since I used this stuff.
Have you considered installing an Iridium Satellite phone system instead? We found them MUCH more reliable, and really not that expensive, unless you're really using a LOT of air time. If you're using a LOT of air time, the HF will probably be annoying enough to make the change to Satellite worthwhile. Listening to all those alien screeches and scraws.......grrrr. Seems like either I or the folks on the other end would wind up turning the volume down, and voila--no more comm..
On the other hand, we put satellite phones in a couple airplanes operating in northern Alaska, and they were great. Reliable, Light, and small antennas.
MTV