It's probably still worth your while to see another meno specialist. If you see someone privately, it's usually very different to a GP. They can prescribe different doses and different ways of using it that are off-label.
Two types is not many, to be honest.
What did you try?
For example, there are at least 5 types of progesterone.
There's the Mirena coil.
Femoston (tablets) that contain dydrogesterone
Utrogestan (micronied progesterone)
Norethisterone (in some patches and tablets)
MPA
Each of these can be used with any type of estrogen (gel, patch, tablet, spray).
Utrogestan can be used vaginally (off licence) which can help either way with sleeping/ not sleeping.
There is also a 3-monthly cycle type- Trisequens - which is good for women in peri..
Unless you have some other type of endocrine disease, which appear to have been ruled out, this is really your only way forward.
Mattresses and bedding are a sticking plaster- they aren't addressing the problem itself.
I don't know where you live, but the SE and London especially have a lot of excellent meno specialists.