I spoke to a rep at the vendor. He said that the $299 "under the sink" pump should work just fine for this situation. Extended periods of sub-freezing temps will not kill the pump. It's designed to run 3 - 4 times an hour for a couple of minutes for many years. I believe the specs are on at 84°F, off at 104°F.
84°F at the pump is a long way from the 20°F burst threshold that the crawl space pipes would need to get down to. They are insulated, so that will help.Depending on how the house is plumbed, it may just move water in that single loop or it may provide instant hot water at other fixtures. Essentially, it's going to circulate water from wherever it is installed all the way back to the water heater. In this house, the powder room is T'd off the pipes to the washer and the washer is in the room right next to the water heater. WH---Washer---Powder Room. If it's plumbed as simple as that, it'll just do that loop.
We agreed that if the house deal goes through and I have a better idea of how the house is plumbed, I will call back and maybe send them a diagram so he can make a definitive recommendation as to which system to use and how/where to install it.
A $300-ish "plug and play" solution is an easy trigger to pull vs. turning off the water all winter or the heat tape/light bulbs/extra insulation crawl space methods.