The motor won't produce much heat, since it's really efficient, but that will definitely help.
And yes, there are certainly use cases which come up as the technology improves. Actually, the airplane I want to buy when I win the lottery is electric: the Antares 20E. It's an electric self-launching glider, so it really just needs enough to get airborne and to a decent altitude, then you use the weather to stay up. Short hops like you describe would work too.
It's much like cars. The Nissan LEAF was useless for driving across the country but great if you just need to get around the city, and then better technology and range increase the number of scenarios where the cars are useful.