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@zman – Acoustic Guitar necks come in all kinds of widths, typical widths are 1 11/16″, 1 23/32″, 1 3/4″. More importantly, Neck designs also run the full variety of shapes (e.g. Oval, Modified Oval, C, V, Modified V, Low Profile, etc.). All of these variable affect fingering depending on your hand and finger size. In my own case, I have a medium size hand, but short fingers (an especially short pinky), so I gravitate to the 1 11/16″ modified low oval necks.
Suggest you stop in at a local guitar store and try a few different styles out to see what works best for you.
Not sure I follow your G chord problem. Would think your ring finger is either on the 1st string, 3rd fret or 2nd string 3rd fret with pinky on the 1st string 3rd fret. Don’t see how your ring finger is muting the 5th string unless you are not using the index and fingering with your middle, ring and pinky (which is legit if you want to use the index in other ways.
Hope this helps