1. Geostationary orbits are in 24/7 sunlight except for a short period each day near the equinoxes
2. Geostationary polar orbits do not exist. Geostationary orbits are, by definition, 0° inclined. A polar geosynchronous orbit, like you mentioned, would not offer much besides being over the same point on the Earth at the same instant every day.
It would offer a lot: the ability to send down an absolutely massive amount of power without having the corridor shift around so that it can be reliably routed around by air traffic. Having the equivalent of a microwave scythe moving across a large area would be kind of counterproductive.
In fact, if we're already beaming power (assuming this works reliably enough) it might make sense to have a set of birds "surfing the terminator" in a polar orbits that can then transmit to geostationary birds which in turn transmit to ground stations.