I don't usually have much luck out of the gates with any project, but this one was a breeze.
My first test was as simple as possible - parked at the remote site, I threw the hotspot on the roof of the car and plugged the POE injector into the inverter. The WiFi list on my phone was completely empty until one lonely AP showed up. I was able to connect without any issues and make calls, text, and surf the web. Not exactly blazing fast, but it worked with zero optimization. Badda-bing!
The second test was slightly more involved. I put the hotspot on the end of an extensible pole - a roof rake for snow removal - and lofted the unit up about 3 meters AGL.
I wanted to test if height made any difference in connection speed, and to test the range of the WiFi around the property. Speed was definitely better, at least according to my Speedtest app - 2.59-Mbps downloads while up on the pole versus 1.66-Mbps on the roof. I suspect I can improve that considerably by replacing the stock omnidirectional LTE antennas with log-periodic dipole array (LDPA) diversity antennas, but more on that later.
As for WiFi coverage, I was pleasantly surprised. We walked east from the hotspot for quite a way, over 230 meters, before dipping down below the local horizon and losing the signal in the weeds. To the north we were able to range almost to the property line, about 140 meters, and to the west over 100 meters and just about to the gate on the county road. That's a big bubble of WiFi, much better than a typical consumer-grade router can do. Assuming an elliptical pattern, it covers about 62% of the property - again, with almost no optimization. Mounted on a permanent pole with better omnidirectional MIMO WiFi antennas, and this thing would be able to supply WiFi to the neighbors. If there were any.
Next step - measuring the power required by the hotspot and designing a solar array to power it.