A short barrel is as inherently accurate as a longer one (if not a smidgen more so, at least in theory).
However, if you’re using iron sights, a longer barrel increases your sight radius (distance between the front and rear sight). Plus a longer barrel (esp. a heavier one) will probably help you hold the pistol steadier.
Ultimately then, a longer barrel will most likely be easier to shoot accurately than a shorter barrel. It’ll also give you a little more velocity.
If you’re looking to hunt with this thing, I’d suggest a longer bull barrel.
Don’t know anything about the Neos. I personally much prefer a 1911 shaped grip, as opposed to a sharply angled one such as the Neos has.
Either the Ruger or the Buckmark are fine pistols for the price.
I prefer the Buckmark primarily because it sets better in my hand. Also, my personal view is that the stock trigger in the Buckmark is a bit better than the Ruger’s. Granted, I dislike the fact that the Buckmark needs an allen wrench to be disassembled.
If you’re considering a red dot, obviously you’ll want a model that makes installation easy. However, a decent red dot is probably going to push you over budget.