Oh lovely this sounds absolutely soul destroying for you. Very hard for you to enjoy having your beautiful baby when every moment is a fight and you are emotionally exhausted.
I would firstly look at the idea of a soy allergy. If he has CMPA soy often goes hand in hand and I know that sometimes they move them to soy formula which could be causing issues.
Next, definitely keep bedsharing safely. I started with my second babe who was as you’ve described yours. Just constant screaming. Have you thought of bed sharing during the day? So when he is tired take him up to bed and snuggle down too? It may give you some extra moments of him sleeping during the day, and I usually would work that up to being able to slip away for 5 minutes and leave them in bed. You can get a cup of tea and your iPad and head back again to watch a box set. I know it’s not ideal, and some days I felt chained to the bloody bed, but if they get that better sleep better moods often follow.
Does movement help him fall to sleep? Would wearing him in a sling help? It would keep him upright and that would help the reflux, and keeping him close may help settle him if you go for a walk or similar. Although I know when they are like this going out is a terrible thought as you don’t want them screaming all the time.
My last tip would be to try cranial osteopathy if you can. It didn’t “fix” my son but I saw a huge difference in him after a few sessions (after the first actually), in that he only screamed 90% of the day, and that extra 10% made such a difference.
I really feel for you, it is so hard. Just so hard. And obviously awful to think they are so distressed and you can’t help. But my heart goes out to you because I’ve been there and it’s just too much some days
And you’ve said above you pray it gets better. Oh I promise it will, but that doesn’t make the days now hard and long x