Towing a Toyota Corolla

If you are going to tow for several days, I think it might be good to start the Corolla and let it idle say 10 minutes if you're concerned about the battery. It's my belief that many of the manual transmissions still approved for towing, still do NOT actually lubricate themselves being towed. In other words, the gears in play in Neutral are not dipping into the lubricant and slinging it around. Manufacturer believes enough lubricant will stay in place to allow towing. Toyota believes you need to pre-lube the transmission by idling in Neutral before driving it after towing. So say you're taking a five-day trip and don't use the toad enroute. Start it after a day, if it cranks on its own, run it to lube the transmission and still longer (say 10 minutes vs. 3 for the transmission) and put some of the charge back into the battery.
I agree with getting a Corolla instead of some other towable vehicle that is far less pleasant, reliable, and comfortable to drive. The YUGO might be towable, but who'd want one?