I have pastures full of Muscadines. They seem to grow everywhere. I just back my truck under them and cut off the vines to get the grapes to make wine. The more you cut them back the faster they grow. They will grow like crazy on the fence.

I've trained a trumpet vine along a similar fence, and had considered doing the same with wisteria. The primary downside is getting to your neighbor's side of the fence to trim and train :-)

louislinus - Try searching board and post fence - those are the actual components of my fence but it really is a variation of post and rail. The first one beverly posted has the same components as mine but the second one has square rails instead of flat or split. They're all variations of classic split rail, which i still think you can do. Try a google image search for post and rail, board and post, open rail fencing, Kentucky horse fence..... you'll come up with a ton of pictures and some of them will show split rail with traditional houses in the background. They don't have to be surrounding a log cabin or a rustic stone cottage to look right. Your house makes me think of Bucks County and there are plenty of old colonials there with spit rail fence. (thanks Tibbrix)

Try the perennial or shrub forum. More appropriate for a choice of plants question like this. High summer is not a great time to establish new plantings, but there are a very wide choice of plants that are drought and deer resistant.