I've got one that looks very similar to yours (Except a lot rougher) and the guy I bought it from said he thought it was 1956. The components on it look right for that period, but he wasn't certain and I'm not either. Nice bike!
This came up on EBay and I was the only bidder. It must be fate or something. And I was reading through the CWC Serial Number thread and they said AMF moved production from Cleveland to Little Rock in 1956. Is there an easy way to tell where this bike was made?
I wish this ad was clear, but the original wasn't great and then when I scanned it, it only got worse. But if you can read it, it's interesting to compare this to the pictures. And thanks to Floyd @WetDogGraphix for his help!
Thank you sir!
And you're right about the two speed. I've been looking at old ads and it looks like they adopted the three speed for 1957, about the same time they moved production to Little Rock. If anyone has a 1957, I would like to see pictures!