Not sure about stainless, but I can let you in on the chrome lined v. chrome moly info.
Chrome-lined: This is the way to go more than 90% of the time. Why? Because it dramatically increases barrel life and makes cleaning and maintenance that much easier.
Chrome-moly: Reduced barrel life (approximately 50%), but potentially greater accuracy. How much better is the accuracy? Not much better at all. In fact, you aren't likely to notice it unless you are shooting from a vise.
I don't know much about stainless. Perhaps it would be more desirable for certain all-weather hunting applications, and is possibly more accurate due to rigidity and barrel profile, but as I said, I'm not too sure.