Lots of good suggestions here. I like multiple layers of security. Starting from inside and working outwards, inside the home have access to a pistol, taser or some form of protection and know how to use them. I always have one within reach, but that's because I'm from the big city and am still adjusting to country life in city known for meth heads and break-ins (kind of like the big city lol). If an intruder is brave enough to enter when it's obvious that someone is home, their intentions certainly cannot be assumed to be anything other than lethal, in my opinion. Things I'd consider that are cost effective.
Alarm/surveillance systems- something like Simplisafe is actually pretty cool- window/door sensors, very loud alarm. No system is without its faults though, even these have their faults, it's just a layer in the onion. If you're far out enough to test sweeping/clearing the location while the alarm is on and adrenaline is flowing, you'll have the upper hand in a real situation. For surveillance, look into the vandal proof domes, 180 degree cameras in corners etc, and use a friend or do it yourself- no matter how professional the company is, people love to talk about the last awesome gig they did and what they saw. The technology these days on cameras is pretty awesome- see if you can even get one with decent zoom to pickup license plates going down the street, or even faces as they approach before realizing there are cameras- all it takes is one good shot to identify the perp.
Windows - outsides of the windows if not barred (at least the rear/backyard for example where no one passing by can see an intruder) should at minimum have roses or thistles surrounding.
Large trained dogs are great- will run more than an alarm system per month in feeding (and training if you hire someone). Also liability, make sure fencing to on point because if they get out and tear the spandex off some poor bicyclist, it will be costly.
Little yapping dogs like chihuahuas.. These dogs bark at everything, and some will even work up enough nerve to bite. A pack of chihuahuas can be great out in a desolate area. When large dogs gets overly hot/exhausted, they will become lazy- sometimes even in the winter time. One dog is a target, two is a team, 3 is a pack to be reckoned with.
You mentioned desolate area- consider also a flock of geese. Geese alert to every little change in the landscape, and they're just as loud as a dog.
Consider a thorny hedge as a perimeter, like hawthorn maybe, or even cactus. Takes some time to establish, but you can get creative with this so it's also pleasing to the eye. In a few year it would fill in nicely. No shrubs etc within 5 feet of the house, good for people to hide behind. Also going back to rural/desolate areas- check your legalities etc but electric fencing/netting like those use for livestock. Easy to run... also easy to cut.. but with an alarm sign, a "caution, electric fence" sign, as well as "caution: dogs" and something to the effect of "you are within range"/"i love my mossberg" along the perimeter/fences, as a burglar this is sensory overload.
Finally, have a used beater car parked at all times in different areas- move it every few days, use a light or tv on a timer, always give the appearance that someone is there. And if patients visit, put the dogs up, don't let any slickster come in and play nice guy, give a treat and pet your dogs- only a select few can be pack leader and you never know when someone may be trying to compromise your dogs which are your first line of defense. If I had lots to invest, a solid perimeter fence would be awesome, one with inability to stick shoes in an climb, I forget the name.