i know about bears, black bear-fight. never turn your back. grizzly-play dead, don't move, look harmless.
i also don't think it was a bear, the hole looked like something a member of the dog family would dig, not a bear and the bear could've easily gotten through the wire (its stronger than chicken wire, but still) and it dug under and up like a dog digging under a fence. i have my money on a coyote. not sure if bobcats would dig the same way, but just a couple weeks ago we had a huge one run through our front yard. if it was a bear, i wouldn't kill it myself, no worries. too big.
eta: nothing tried to get in last night. i went out around 8:30 just to close them in their house (they have a pen hooked up to it but the house is safer) and i was so worried i was gonna walk out there and have some wild animal right in the back and we'd end up surprising each other, which is never a good thing. when i went out this morning, nothing had dug around or anything.