Since the average age of menopause is 52 and since you are still bleeding, I think you are right to believe you are peri.
Second, it can be perfectly true that 393pmol isn't sufficient estrogen. My own estradiol was 328pmol recently and my menopause specialist and I have been trying hard to get it up to 450-650pmol because during peri many women need it higher. It is a perfectly legitimate thing to try and you shouldn't be afraid of trying higher estrogen levels. Especially if you have explored lower doses and still have symptoms.
In the US, the most well-clued up providers are also aiming to get women between 100-200ng which is the same range as 450-650pmol. It is only in the UK that there is some stupid belief that people should be great at 250+. This assumption has caused me undue hell for years when working with less knowledgeable GPs who basically told me to lump it with my symptoms.
I am on 12 pumps of gel and that still was only giving me the same serum estradiol as 6 pumps - I wasn't absorbing the extra. I've got some Sandrena to switch to and will be, next week - delaying due to a work trip next weekend - but in the meantime I stuck a 50mcg patch on (which I had left over) and I'm getting fantastic sleep, the best sleep I've had in the entire last few years. It's now pretty much proven that my symptoms were due to low estrogen (or fluctuations) even with results around 350pmol.
If your menopause specialist thinks you should get higher, you should 100% try that. But sometimes different estrogens 'hit' you differently, and it's not just about strength but speed of absorption I think. For eg, Oestrogel is often considered quite a gentle estrogen and Sandrena people often describe as giving them a 'hit' or making them jittery. So if you absorb it quickly, it can cause some of these issues. Is there a reason your doctor isn't just giving you an increase on the patch? You can have a 25 patch to add, or 50 patches you cut in half to make 25... If you are good on Evorel that would make the most sense. Perhaps send them an email...