What mic would you use to record tap dance (specific which lavalier, what position)- I was thinking dpa 4061 at the heel, but maybe 4062x would be more suitable? or would you rather use foley instead?
A wireless lav on the dancer and Foley replacement are only two possible solutions. And probably not even the most commonly used solutions. Conventional micing techniques, and barrier ("PZM") microphones are more commonly used than either wireless lav or Foley replacement. Most of the details that are used to make these trade-off decisions are not disclosed in the question.