I highly recommend Red SLs, they make a religion out of laying, and usually have a pretty sweet personality. My girl Darla likes to sit on my knee and gossip with me.
Of course, she's always gossiping. You can open the box on her and she'll be like "oh hai, so our conversation got interrupted. Let me tell you about what I saw in the yard...". She'll even keep clucking away while you reach under her, like nothing in the world is wrong. The rest of the girls give me offended looks, but not Darla, she's too busy talking.