Unlikely
You can come back to the Peppermill, but if you play Blackjack again (they have your photo) you will be 86'ed. If you come back and play after this, you will be arrested for trespass.
There is a tiny chance of an 86'ing and subsequent arrest, but it is unlikely. I have been backed off at Peppermill many times over the years, but never 86'd. I play at stakes much higher than the original poster. Friends have been backed off there many times, but never 86'd.
As I mentioned in a post above, it's a stupid waste of Peppermill's resources to have its surveillance folks focusing on tiny-stakes players, while internal theft and other serious problems could be swirling about unnoticed.
My advice to GoalieaDad is to stay away from Peppermill for a couple of months, and the shift on which the backoff occurred for at least six months. Peppermill backs off so many people, they cannot possibly remember them all. The photo will soon be buried in the pile. Upon return, play anonymous short sessions. Never again cash chips at the Peppermill cage; keep them in chip inventory, or cash them at other casinos. Also see the link below. In fairness to Peppermill, its backoffs are more professional than most. Rarely are security goons involved, it is usually just a suit politely delivering the message.