...you sound like me, I've had [all kinds of] dogs all my life, and we've bred and sold Border Collies and Lhasa Apsos in the past. Rescued an Anatolian from the pound 15 yrs ago and fell in love with the breed. They're hardy, low maintenance, low supervision, (low energy until 'enegized'
), and very lovable family dogs.
A single strand of [solar] electrified wire along the bottom of the fence 12" off the ground is the way I went. VERY effective. Haven't needed to energize it for over a year. Once they learn their boundaries roaming is not a problem. And besides, that's why two dogs is preferred over a lone dog, they bond and keep one another company. We also have 2 ten yr old Papillion brothers. (grouchy old men)
I've actually used electric wire for many years but have quite a few issues keeping it working although, there was a time that for the most part it contained a pack of 5 rowdy Dogo Argentinos for a few years. Had a lot of shorts from the wire coming into contact with my chain-link fence, I started with the wire high at about 12" and the dogs figured out to go low, I put the wire low and weeds got around it and shorted it. If super excited my crazy Dogos would just push the wire into the fence and short it out then dig under and bend the chain-link up (like the time they killed my neighbor's escaped 350lb hog

) and maintaining the gates connections was another issue, people were scared of them, didn't see the wire or hit it with the gate. My solar units just didn't have enough bite especially because of the how dry the ground gets in the summer, I had it hooked to 3 x 8' copper grounding rods and still getting a poor ground. I did have a big 10 mile capable electric unit that worked and lasted me pretty good for a few years.
Anyway, after my sweet little dog became a snack for the coyotes (She ran out the exercise room doogy-door one night and I followed within a minute but she was already gone, then I heard the coyotes celebrating out at my gate. My one Dogo was just standing there looking dumb.) I sealed off all the doggy-doors around the house except the laundry where I built a 50' x 80' pen up against the house that nothing was getting in or out of that wasn't supposed to and next time my electrical wire failed the pen also became the escape artist's big dog's main home, but current the coyotes have no deterrent for the rest of the property.
Actually, the switch from a high prey dog breed to a protection breed does make a lot of sense for my circumstances and the Anatolion Shepard or Kangal does sound to fit the bill. I also miss having chickens. Found another liter only 4 weeks old where I could probably reserve the pick of liter and thinking to give a call tomorrow to see how much.