Over the years I've had numerous dogs make a jail break. The thing is once they are successful they keep at it and the converse is true, if they fail often they eventually give up.
Some non traditional methods I've had success with, is a shorter fence 18 inches from the existing fence. Most dogs don't like the cramped quarters much and/or landing on their heads and front legs when they jump the shorter fence.
Something with thorns planted in front of the fence.
And my favorite is concrete reinforcing mesh. With about four inch squares and either 1/8" or 3/16" rod (depending on how stable you think it needs to be). I've had dogs bite through and tear up chain link, none have every had any success with concrete reinforcing mesh.
I even cleaned my mesh fence sections up (wiped the oil off with solvent) and painted them with a brush, using Hamerite paint. They even look reasonably good. More expensive than chain link, less expensive than the element type metal fencing you can buy.
In the long run the mesh may be cheaper than chain link, after you have to pay for repairs to the existing fence and having to deal with animal control or worse yet some sort of law suit.
I've also used the mesh to partially cover the bottom three feet of existing wooden fences. It might not save the existing fence completely, but it will likely keep them from ever having complete success and eventually may discourage them from even trying.
If four sections were tied together in a square, it may need little or no extra bracing. One 6 X 8 foot section is manageable by one person. Doubtful to be affected much by the wind. The sheets of mesh come in various sizes, 5' X 10' would likely be what you'd want. Explain to the metal wholesaler what you're after, have them cut the sections so you have as few as possible ends sticking out, except maybe on the base section (so you can push it into the ground a little). If you have to put a sun screen on a side, I'd use some sort of anchors or stakes (the wind and sail area is always a consideration with any fence). Delivery has never really cost me very much from the metal handler, they deliver all day long.
I've had good luck looking through the odds and ends at the metal handler. If it is a cut piece and excess, you can often pick it up by the pound and not have to pay for the finished product.
I've even used the mesh as tangle foot, laid it horizontally on 8" legs. Dogs don't much like having to pick there way through the squares to get where they want to go. I've also used it with longer legs (laid horizontally with a bit more ground clearance) to discourage Deer from visiting the garden.
