Which version of WireShare are you using? Try 6.4.3 (last release) because it falls back on GWeb Cache servers if it struggles to find hosts.

With your experience of firewalled apps, I'd also recommend port forwarding for WireShare, but don't use the same port you use for any other app.

(Comment: it would be preferable if you shaded out at least a portion of the ip addresses in snapshots to protect their privacy. I normally re-arrange the numbers & change/blank numbers, etc.)