None of these coaches needed to go "undercover." Not one person in 10,000 has the slightest idea what they look like, and even less care.
Hell, they could walk around wearing name tags and nobody would know who they were. We'd all just be wondering why they were wearing name tags.
What kind of insane ego trip is this? Nobody is watching football to see the coaches! I mean, I might recognize one or two NFL quarterbacks on the street. I MIGHT recognize Bill Bellichick. That's it. THESE guys? Come on!