Keeping HYDRATED is paramount. I have found when I am poorly hydrated, I get "hot flashes" too......it's not too much to drink 2-3 liters of water a day in summertime. Stay out of the sun, too----and tanning booths. Take excellent care of your skin, keeping it well hydrated and lubricated, as well. Are you taking vitamins and minerals everyday? How about calcium? Make sure you are!
And to answer your question: Yes, I have seen (rarely) perimenopausal symptoms in people just 30 or so---- a good friend went thru menopause at 35! You should seek other advice ASAP----perhaps a different doctor or midwife. Seems to me, something is amiss----
It took my friend going through a few doctors before one ran a thorough enough panel of tests (FSH, LH, estradiol, etc) to determine, she was, in fact, in perimenopause and th she get treatment for it. Maybe a visit to an endocrinologist may be in order? You say TSH was normal, but I did not see what other tests may have been done; if I missed it I am sorry.
Anyhow, I would try an endocrinologist, if possible. If you can't get a referral, you may have to pay out of pocket----that may or may not be worth it to you. I would do it.
You could also try the homeopathic route to wellbeing. Try a midwife first---and he/she could possibly refer you to a good naturo/homeopath or even chiro who could possibly help you. I am a big believer in midwifery. They REALLY take time to listen to you and think "outside the box".
I wish you well, and relief from your miseries! I feel for you.