As Torvy opined, I don't quite understand a barbless top strand. While it may make you feel good (about animals), it would have little deterrent value to our woodland friends (and I have many). I do value wildlife, and understand not intentionally harming an animal (and yes, I have, and do hunt, etc.). But, there is a practical limit as to what one can do. And you decide. Barbed wire, for cattle, keeps them from collapsing your woven wire fences (as does a strand underneath your fence). But, that simply will not keep out people or dogs, or... In horse states, you will find those who put up a woven wire fence, also put up a top board...because our equine friends...aren't so smart, visually. Or an expensive board fence...
An electric fence (which I also use on the farm) will definitely deter anything. People included. Don't believe me, touch one in a grounded situation. But, what about those with pacemakers? Yep, see where I'm going...not that simple, is it?
And, I'm sorry, but the first fence made it more dangerous for wildlife. Can't really help that. As some implied, a small percentage of wildlife will be harmed and hurt by fencing. But I suspect it is a rather small percentage. And if it is proven that it is a large percentage...we should all be concerned. At this point, I doubt it, but I will defintely listen. Frankly, farmers and hunters are wildlife's best friend. We live with them and enjoy them in ways many of the folks with an agenda cannot fathom. Most of us actually revere the privilege of being out here. We aren't the enemy of wildlife - we protect it, because we live with it and enjoy it....
Gosh, fencing is the least of our problems with wildlife protection. Which is why I said go to the County Agent and ask for advice on fencing. Uhh, like, what are you really trying to do?
And, Best Regards to all who are thinking about this...