I can't speak as to the Berretta but have heard good things. I have had a single six for 20+ years and have always had good luck. The most similar firearm to the neos I've had was a walther P22, and I found the single six more accurate for me. I'm more of a revolver guy myself. but reloading a single six is slow, and found I like the autoloader for fast fun plinking.
I think you'll just have to decide which one suites you best, The Neos is probably easier to mount a scope. But if you've never had a revolver you might want to try one.
I'm afraid I'm not much help, your just gonna have to buy em both. :-D