I don't get what you mean by front-facing website. Do you mean accessible by the public? Isn't that the point of websites that allows the public to look up professional licenses? I would imagine that there are similar websites for all other licensed professionals.

BTW, California has a similar website that allows employers to put in SSN and DOB to lookup a teacher's license: https://www.ctc.ca.gov/commission/lookup

It seems that Missouri had a similar setup that required a teacher's last name and the last 4 SSN digits.