Other then having one custom made I know of nothing in the marketplace. Did read an article years ago about one being made on a customized 581. Looked nice and sleek. The guy made a mannlicher stock for it too! Would've hated to see the bill.
I sure wish I had an answer for you. I have found some after market stocks if you are interested. I am in the process of ordering one of those stocks myself. I just picked up a really nice LH model not too long ago. I don't think it had even been shot. But I remedied that real fast. The condition was as near to 100% as you can get in a rifle without a box.
I really like the 581's. IMO they are the best shooting inexpensive 22 LR's ever made. Tom.
Here's mine i bought new when I was in 11th grade back in 1968. I remembering saving-up for so long while working part time to buy it! It has a nice stock that i really appreciate now but didn't even notice back then. Was just glad to get me a 22 for huntin squirrels!!!