All I know that helped with DS1 when he was very unsettled, screaming and not sleeping was to put him in our hug a bub.
I'd pop him in and do a few laps of the house, a lil jiggle.

He also loved to be near me but also was a lover of being wrapped super tight and once I did that it helped to calm him.

I'd also give him a bath at 1am if it got to extreme. He would then crash out after he was all dry and clothed.
Thats all that worked for me hun other than running round the block with the pram lol.