Mag, if you have osteoporosis you really ideally need to figure out a way to get some estrogen in there.
When you say you 'tried oral progesterone', which did you try? Body identical utrogestan? Did you try using that vaginally? You do know you can use the same capsule in your vagina instead and not have to take it orally?
There is also Provera, which is a synthetic oral progesterone you can take. There are two different patches, with different progesterones in them (Evorel Conti and FemSeven Conti).
And then there is the coil. I understand being freaked out by not being able to remove it, but surely if you saw a doctor and explained that you were considering a hysterectomy before trying the coil, because you were afraid of not being able to remove the coil ASAP, then surely they would agree to remove it as soon as you asked? The alternative is a huge surgery. If they won't remove it, try different doctors, go to A&E or see someone privately - you get what you ask for when you go private. Which is all to say - I don't think you should be so afraid of the coil not being able to be removed that you don't even try it, and have a surgery that carries risks...
PS - it might be worth seeing a specialist menopause GP privately, because these are the situations they can be really good at negotiating, more so than regular NHS GPs.