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I reckon you’d need to make the base stock with a ham bone - they’re cheap at butchers shops. With the pease, onion, carrot and bay leaf as per usual but cook it for longer. A slow cooker would be perfect for the job. Then add the chopped sliced ham to the soup at the end. No need to add salt then, the sliced ham will have enough. Just using the sliced ham only you’ll lose out on the glorious gelatinous mouthfeel of a proper pea & ham soup, and it won’t set to a jelly like a ham bone/ham hock soup would.
This would work very well. Most butchers will have packs of 1 or 2 pigs trotters - scrub well, heave ONE into the pot with the pease and when cooked you’ll have a lovely gelatinous stock.
They don’t have much taste - you can make sweet fruit jellies with pigs trotters and very nice they are too - but the collagen/gelatine they release is incredible. Freeze the other trotter for the next time.