I agree with fomal no alcohol - even small amounts affect progesterone levels and stress hormones. Alcohol is very estrogenic.
Great advice getting blood work. You may also want to try taking your pulse and temps first thing as soon as you wake, then after eating. Low temp is highly indicative of thyroid problems. In fact blood tests alone aren't always reliable as they can show your thyroid to be working fine when in actual fact you can still be hypothyroid and struggle with symptoms. The temps/pulse is an old yet effective method. Google this. Also google the works of Ray Peat. He has many articles on his website plus there is a fantastic forum full of advice. It's a lot to take in at first as it goes against mainstream science. I was slept oval at first but it has changed my life - and I've tried a lot of things. We are being misinformed about so many things. Our doctors can often push drugs to mask our symptoms instead of helping us find the root cause and dealing with it in a more natural way. Not to say doctors and medication don't have their place of course, but it's just one part of a giant puzzle. Learning about your body and understanding why it does what it does will be one of the best things you ever do.
You mention pain problems. Would you be open to discussing these further? I too have/had many pain issues - joints and muscles everywhere as well as endometriosis and period pain, back and neck/shoulder pain plus earache from tinnitus/hyperacusis. I have overcome many of these by several things including taking serrapeptase (a silk worm enzyme that eats scar tissue - this also cleared my endometriosis, which is essentially dead tissue, and along with a few other things I did enabled me to finally become pregnant with my now 18month old daughter) I took it in quite high amounts over a year it was expensive but worth it. No more hospital episodes! I occasionally do top ups to help deal with any new inflammation. The best deal for it I found was vitacure online - Holland and Barratt type places just rip you off.
I also changed my diet radically by decreasing grains, cutting gluten, and increasing deficient nutrients - magnesium (I also use a liquid ionic magnesium from Amazon as a top up as magnesium supplements are useless and do not absorb - I also use Epsom salts which you can get cheap in bulk on eBay about £16 for a 25kg bag) plus all of the B's, especially D3, and serious amounts of protein as well as increasing my progesterone levels (that's another story) and decreasing estrogen (by avoiding estrogenic foods and chemicals)
I no longer require pain relief every day (which by the way opiates just give you more pain and more long term health problems - I wish I could go back in time! They affect everything. Not to mention all the problems just from wrecking the bowels via constipation! Quitting them was essential to regaining health and helping pain problems - isn't that ironic?) I manage symptoms much more easily now. I take hot Epsom salt baths (1-2 cups) to get rid of any aches before bed to help aid falling to sleep which has been a game changer for me. I used to get horrific period pain too for over ten years since I got my period, now I barely get mild cramps mostly thanks to the change in progesterone/estrogen ratio which I discovered was also responsible for a lot of my joint/muscle pains plus fatigue. (I'm 30 by the way) It's not just menopausal women that suffer with this.
Have you considered pink noise instead of white? I have tinnitus which is not fun to live with (I had a nervous breakdown at first until I habituated) let alone sleep with and I always have to have noise on. I find white noise too harsh but pink is much nicer. In fact I now mostly use my large dyson fan as it has a soothing frequency which is nicer to sleep with. It was pricey but a bday present. I have had it on 24/7 for 3 years now! I just turn it around in winter lol. It cleans the air too. Fantastic. You might also like the thunderspace app - the guy who made this actually had tinnitus himself. There's a range of rain themes on there, it even has a lightening mode which dh and I find pretty exciting on a dark night as we love thunderstorms! They don't all have thunder some are just peaceful rain.
I'm so sorry you are struggling with so many things, I really feel for you. Hopefully with some lifestyle changes we can help you deal better.
fomal sorry you have such an insomniac baby! It took almost 15 months for our little one to sleep through! It is so hard functioning like that, I hope things turn around for you soon!