I just leave our gate open. The gate is 300' from the paved road, where our shared driveway splits. USPS always leaves stuff on the front porch. UPS always puts stuff on our screened back porch. FEDEX, there is no telling. I've had them leave packages out by the gate, next to our mail box on the paved road, front door, back door, shop door, sitting in the middle of the parking area, etc.
If you do a lockbox, try and get the gate and locker box back off the road as far as you can, so somebody driving by doesn't happen to see the ups guy putting a package in it.
Most of the automatic gates will fold the push arm if you give it a shove, or can just pull the clevis pin on the cylinder. A locked gate is open in 30 seconds with a cordless side grinder. If nobodys home, a gate won't stop anyone except for a curious sight-seer. Alarm system, driveway alert, and security cameras take care of whatever comes along. My shop is on past the house, and I always leave something parked on that road, so somebody can't just come in and help themselves to a trailer.
There are several houses I know that the gate is a tale-tell if house is empty...the only time the gate is closed is when nobody is home, especially on a weekend. If you have one, don't have a pattern.