Joe,
I have a JD 4115, which I believe is the same size as your NH. I had the same problem looking for the right chains to use.
I purchased chains from Tirechains.com like the ones in your second picture. I thought the cross pattern would stop the chains from falling into the lugs. Well take it from me, do not buy this style of chain for your size tractor. This pattern might be great on a much bigger tire, but our tires are to small. This setup leaves to much space between the chains, and it will shake the S**T out of you and your tractor. It was like I had square wheels.
I looked again at tirecahins.com and decided to go with the ladder style for my tractor. I wanted more cross pieces and I wanted the ones with the V-bars. I called them and explained what I needed, and they made up a set for me and I had them in a couple of days. This setup works great because you ride mostly on the chain, so the up and down motion is gone. Very smooth ride and lots of traction. Don't worry about the chains falling into the lugs, these chains are very heavy duty and stick out even when part of them is in between the lug. /forums/images/graemlins/grin.gif