You are right that most of the bleed free options involve a progestin, however if your quality of life is suffering on micronised progesterone, it may be worth actually looking into the real world differences in health outcomes with various progestins vs progesterone, because these are clinically minuscule and very much distorted on social media, to the extent that progesterone intolerant women are really suffering and terrified of trying something that isn't "body identical".
Many women abandon hormone therapy altogether having only ever tried micronised progesterone, which is a real tragedy.
I am assuming you have already tried the progesterone vaginally? This sometimes improves tolerability.
Bleed free options can include desogestrel, norethisterone (available orally and in combination patches), dydrogesterone, dienogest, drospirenone, provera or the mirena IUS which contains levonorgestrel.
There is also tibolone.
In other countries there is bazedoxifene but this is only currently available in combination with equine derived estrogen, which makes it unappealing to many, and is not available in the UK at all.