Ester IX:XVI is correct about the lights. Have extensive perimeter lighting, but have it controlled by switches from a covered/concealed location in your home. Have your lighting directed both away from and to a lesser extent towards your house. Be prepared to shut off all the light inside your house, a back light target is much easier to hit. Make sure the back lit target is the intruder. Normally leave you lights off; the fewer people know you are there, the less likely you are to be targeted.
I have lived for 30 years in a rural setting with sheriff’s department response time approximately 30 minutes. Fences, gates, hedges, and trees to control access help. Dogs make a good alarm system and, outside of the military, I have never heard of dogs being shot with silenced .22's.
Firearms need to be a mix. Handgun or handguns, shotgun, and rifle are all useful for various threats at various distances. In a rural area you have the additional problem of stocking sufficient ammunition for 30+ minute fire fight. Remember, you are on your own until you local sheriff’s department arrives. My handguns are the same caliber as my local sheriff’s department. I keep both 12 ga and 20 ga shotguns because I want my wife to be able to assist me. She is much more accurate with the 20 ga. She is also pretty tough with a Marlin .357 rifle. I keep 500 rounds of 40S&W, 250 rounds of 12 ga #4 buckshot, 25 12 ga slugs, 250 rounds of 20 ga #4 buckshot, 25 rounds of 20 ga slugs, 250 rounds of .357, and 1000 rounds of .223 for my AR. Yes this is far more than I ever anticipate needing even in a prolonged fire fight, but resupply is not an option. Another yes is that this does get expensive quickly. The answer is to build up to it over time. Start out with 50 rds, 25 rds, 10 rds, 50 rds, and 100 rds for the guns listed and them build up. Remember, the only guy that has too much ammo in a fire fight is the other guy.
One other item is to have an escape plan. Look for concealed routes to leave the area if you are out gunned or out manned. Only fight if you can overwhelm you opponent or if you do not have a choice. Remember the Boy Scouts, Be Prepared. Remeber the Army, Be Prepared to change you plans as soon as the shooting starts!