You can buy accurate pediatricians mailing lists from InfoGlobalData. These are 100% Privacy Compliant as per CAN-SPAM, GDPR, CCPA and CASL.
SMTP verification is the best to check the pediatrician email deliverability. There are many ECOA providers who do periodic checking of email lists for marketers to make sure all the emails are deliverable.
Yes, you can send emails if the email list is CAN-SPAM compliant and opt-in. Make sure if a pediatricians email list is purchased from a 3rd party, these are consent based email addresses and contacts.
10,000 pediatrician email lists will cost you $2000. Make sure these are 100% Opt-In Data.
It is legal to market to pediatricians across the USA.