Kafri I have just read this thread and have far less experience than other posters but didn't want to read and run. I hope you're ok and that someone can come today so you can sleep.
Until one of the other posters comes back with better, more specific advice: I have 14 wo DD, less high needs than your DS, but very alert and retrospectively think was really overstimulated in early weeks and still often is now. what has amazed me (looking back) is how constantly things have changed, often imperceptibly at the time, but end result is she is so much more happy and settled now she is 3mo and I understand her so much better than I did. Whatever happens, your DS will change too, it is inevitable, hang on to that thought.
The other thing I wanted to say is (in response to your question about hoover / white noise) I feel really strongly there is no such thing as a rod for your own back, you must simply do whatever works at this point. I feed DD on demand, often to sleep, she fights sleep like a demon and we have tried many many things including shh pat, singing, lights, sling, pram, whatever. various things have worked for a night or two then we've had to find something different. For the first month we coslept though I thought we never would - I had no choice, or I never would have slept. she loved it, but it made me nervous. Once she was more settled, having clocked some decent sleep, I worked on getting her used to her cot (we have a Bednest, so now she's right next to me anyway). My DF, bless him, scarred by 3.5 years of sleepless nights with my brother, felt strongly that she shouldn't be relying on us to get to sleep, visions of me BFing a ten year old to sleep. tosh! she is tiny, the less she sleeps the less able she is to sleep, iyswim, so the goal is just to get her to sleep whatever it takes. And this has gradually worked - she still only naps 30 minutes at a time (so jealous of friend whose DS sleeps for 2 hours in the middle of the day!) but she has five naps a day if need be, I'm militant, the second she touches her ear (dead give away) or rubs eyes she is whisked into familiar sleep environment. and the more she sleeps the more familiar it is / the better she is at it. so, do whatever it takes to get him off, as you gradually come through this you will naturally become more consistent and that will help too.
Fwiw, what has worked most reliably for us in moving her from only sleeping on me / in my arms to now always sleeping in cot is 1) letting her fall asleep at the breast and holding her in my arms for at least half an hour before trying to put her down - it seems she is in some sort of light sleep that lets her wind down from a state of overstimulation 2) when settling her in cot after this, physically preventing her thrashing her head / arms around by pinning her down (she is a swaddle refusenik [hmmm]).
writing this, it strikes me that it sounds as though your DS sounds like he is stuck in the first emotional state every baby has and DD was in for a few weeks, just overwhelmed by everything - perhaps because he is so alert. keeping him in terribly familiar environs, with just a few familiar things, might help. DD always calmed down immediately when put on her change table and I have realised it's because it's the most predictable place - same very distinctive mobile, exaclty the same routine. she then built up the same understanding of her cot / activity gym / bouncey chair. still working on the pram! 
oh and I took her to an osteopath last week because she was suddenly just screaming and screaming in pram / sling - it seems to have made an immediate difference and I am so grateful, so another vote for that, go asap if you can.
sorry, that turned into a massive roundabout waffle I wasn't expecting to write! 
I hope it makes some sense and helps in some way.
what I really wanted to say is just that you are doing astonishingly brilliantly amazingly well to be so humorous and kind to DS throughout what is a really testing time and to remember how much he was wanted something I have at times struggled to do
now I hear the empress my DD yelping and must go and tend to her every need.....! 