A Tale of Two Dogs

We have two dogs. One of them is a little bit nuts, and the other is completely and utterly insane. I have a warm, soft Sharka curled up next to me on the sofa right now. She occasionally lifts her head to listen if she hears something outside. But, once she's figured out it's not a threat (or I tell her it's okay), she sighs and happily lies back down as I scratch her behind her ears.
Tesuque is currently out in the back yard. She is having barking fit after barking fit. I would let her in, but the barking fits do not stop simply because she is indoors and Bryce has just gone down for the night. When Tesuque hears a noise (or thinks she hears a noise, as is normally the case), she doesn't waste time listening again to be sure there's an imminent threat, she just immediately sounds the alarm.
Tesuque is kind of a problem. It's like she has an anxiety disorder - she is ever on a hair-trigger, and she can (and does) go off at any moment. Taking her for walks is stressful, leaving her at home is stressful... in fact she recently started turning on the stove in our absence, apparently searching for food on the stove top. We've come home three times to a very strong gas smell in the house. The only thing that works these days is to run her. Hard. Every morning. The problem? She seems to be getting stronger and has even more energy!