Each prospect gets one sender and keeps it
Add several email accounts to one campaign and each prospect is assigned to one of them. That account sends the opening email and every follow-up, so the whole thread carries one name, one address and one signature. Nothing changes sender halfway through a conversation. The assignment holds unless you remove that account from the campaign or from Woodpecker.
Each account brings its own From name and signature, so keep your own name out of the email body and let the signature introduce whoever is sending.
Replies from every account land in one place, the centralized inbox.