Client wants 40k emails from a directory. Each one requires a click. What do I do?

CLint need a list of 40,000+ members from the ACR directory. Need Name, City, State, Zip, Specialty, Email, and Phone.
The directory/search results give me some of this information, but email, phone, address, Member Since, etc. appear to be available only on the individual member profile.

So I'm trying to figure out the best way to approach this in Python.

If I literally open/request every profile, that's 43k+ profile requests, which obviously makes me concerned about rate limits, blocking, or getting the account/IP banned.

I'm considering Python requests/BeautifulSoup or Playwright, but before attempting something this large I'd like some advice.