Last year I added mesh to the barbed wire surrounding the 2 acre homestead to keep our dogs in and critters out. I used the High Tensile Field Fence, 14 ga., 47 in x 330 ft. from TSC and Atwoods (cleaned TSC out). I have been very happy with it. Although it is only 4 feet high, my dogs and the critters outside don't jump it. Humans are another issue, but they will trash anything they climb and you will be doing a repair at any rate...might as well save the money up front and repair as needed. I had a human issue on another section of fence a couple of years ago and ended up installing a stinger wire even with the top wire but mounted on the inside of the posts and spaced 2 inches in. Pretty cheap deterrent for casual intruders.
Personally, I think 6 foot fences are a waste of money and look weird. I don't think you gain much from that considerable cost increase. I've never seen anything jump my 4 foot, and deer will jump an 8 foot.