My Barred Rock was a bully when I was introducing my Speckled Sussex. It took them about a month for the chasing to stop. The Sussex is still the bottom chicken in the pecking order but there's no more outright bullying.
I don't know if you're still looking for recommendations but Sussex chickens are a great dual purpose bird. They used to be the meat bird of England and are excellent layers as well. Granted their eggs are a bit on the smaller side (or at least mine are) but my Speckled Sussex lays 5 eggs a week...
I've thought about buying these as no one seems to be laying in the nesting boxes, but I wanted to wait and see if they got it without them. But a two for one purpose seems like I should just go ahead and get them.
I thought I had got there quick yesterday as I ran out as soon as I heard an egg song but it was cracked anyway. Today I wasn't home so I couldn't get out there as quick but it doesn't seem to matter.
My BR laid her first egg yesterday and the top was cracked. Today it happened again. Is she pecking them? No other hens are laying cracked eggs and they all lay in the coop or under the coop in their chicken craters.
Whelp I found a second egg that looks identical to the small darker egg... Which means there is a third pullet laying and idk who! Butt checks tonight!
Hmm that is a possibility as well. My SS has a bigger comb than my RIR. My SS is the skittish one so I haven't done a butt check but I've seen her in the coop messing around more than the other pullets.