I think the oestrogen part of patches is usually bioidentical, so you could ask for an oestrogen only patch?
I use Estradot50 patches for oestrogen, it's bioidentical oestrogen in a patch, no progesterone, you take that separately. So is Evorel50 but I can't recommend that as it did nothing at all for me either good or bad, I don't think I absorbed it, I feel the effects of Estradot50 though and it sticks better, less itchy, more expensive for the NHS, harder to get than the cheap and nasty Evorel, but many women find Evorel OK as well, so I get why everyone has to try it first.
Then I use utrogestan 12 days a month which I think is the same as your progesterone except the brand?
At first I couldn't tolerate 200mg a day taken orally, so I took only 100mg a day last month vaginally and still had the same period at the same time, it seemed enough but the menopause clinic said no, it has to be 200mg.
Now I'm using 200mg utrogestan a day rectally and I'm getting fewer side effects than 100mg vaginally last month.
Perhaps I'm growing more tolerant to it.
I got a throat infection the day after starting utrogestan this month and it's a bit irritated down there, but less irritation than taking it vaginally.
PS it was a long battle to get bioidentical HRT, the GP had started me on Evorel Conti because I was the all important 1year+ post menopause. However it contains northisterone, definitely not bioidentical and I started having periods again, so I went on the list for a scan for unexplained bleeding, that should happen next month. In the year and a half that I've tried HRT I've never agreed to any non bioidentical HRT, they tell you it's bioidentical anyway, it took me from March 2022 to June 2023 to finally be prescribed a bioidentical progesterone. I warned my GP I couldn't tolerate progesterone when she first suggested HRT, she assured me that is no longer a problem, modern treatments don't give the extreme PMT that older ones did, B*ll*cks, it's total and utter b*ll*cks, don't believe them.