At a certain point, I think somebody with sufficient resources could mount a strong objection to such a compulsion on the grounds that it was either a violation of the 13th amendment or the 8th amendment (since the 13th has an exception for punishment).

Make a video every month of yourself (voluntarily) getting whipped while stating that you had not been served any warrants. If they said that they were compelling to you do it, you could argue involuntary servitude. If they argued that did not apply since it was a punishment for a crime committed, you could argue cruel and unusual punishment.

Ultimately, in theory, they can't stop you from quitting your job and shutting down your business. It seems as though that is somewhat effective.