So, you’re in Maysville. That’s great, you’re about 60mi N of where I grew up.
Now here is something and this I do not submit as an answer but just an idea:
I wish I had a photo handy of the wall I made where I used to live in NC. It was great, it was natural and when the gentle winds blew, it made a nice peaceful sound.
I found my bamboo in NC behind a business and inquired about getting some cuttings, they said, TAKE ALL YOU WANT. They did not have anyone taking care of their forest and it was taking over everything. I did a good job of thinning their culms and had enough to make a good starting wall. I also planted them around this time of year so it had a good summer to grow.
My house was at the end of a main road in my subdivision and thus I had little privacy in line with the road. Within a year of planting, I had a suitable privacy wall. With pruning, I could have kept it at that density. Within a few years, it was solid and maintenance kept it from taking over my yard.
The negatives of bamboo, where you are and due to frost are leaf drop. Now, you can protect the plants with burlap but that is time consuming and it will not die because of the frost you have there. The other problem is creep with the running bamboo. I was able to keep mine well mannered. Simple ‘spade pruning’ a couple times a year and you will not have any problems. After 10 years, the stand of bamboo was incredible.
Now I live in Arizona and I am again using Bamboo in my landscaping, this time to block the sun. I just bought a half dozen 5 gal. golden bamboo over the weekend. With the climate being so arid here, you do not find wild runs and not many people have enough that you can ask them for some cuttings. So I had to find some at the local nursery.
I mention the bamboo because:
1) It is inexpensive and easy acquire. If you look around, it might be next to or even free, mine was. Installation is then just some good ole diggin.
2) Some cities and counties may have ordinances that regulate fence height. Even on proximal locations of your property. A natural plant barrier typically will not be regulated in height (although sometimes regulated by species). The city could require that you prune it into a pleasing display.
3) If you change your mind, a chainsaw and some RoundUp will get rid of the wall in very short time. [Then you have wood for patio furniture!]
4) Actual offset on your side of the property line can be ZERO. You can’t dig beyond your line but it can be on it.
[As an addendum, for what ever purpose you may be manipulating the ground at the property line and even within the borders of your own property, you should seek the services of one of the free, local “Call before you dig” companies]
5) [Lastly, I am not a tree hugger but…] Bamboo is an environmentally friendly plant that is actually a grass. Thus, it is an easily renewable resource and its use in place of dimensional lumber reduces the harvesting of old growth wood.
American Bamboo Society - Promoting the Beauty and Utility of Bamboo
[ http://americanbamboo.org/GeneralInfoPages/BarnhartIntro.html ]
As I mentioned in the beginning, I am not submitting this as your answer. I have been researching your question and I am glad to investigate further about the split rail fence offset for you if you like.
However if this is something you had not considered and it has grabbed your interest please feel free to accept this as the answer to your question.