Special elections vs. gubenatorial appointments for Congressional vacancies

[Vosem]

In particular, it would be a good way to counter "vanity" by-elections, like that of of David Davis in the UK, as well as Tariana Turia and Hone Harawira here in New Zealand.

Those are a thing in Westminster-system countries, but I can't think of a single case of a candidate resigning to trigger a special election they themselves run in in America. House elections are all so close to each other (every 2 years!) that it doesn't make sense.