A good chiro will figure out what caused the sciatic inflammation in the first place. They will address the underlying cause. (Sciatica is always a symptom of something else. The nerves don't just spontaneously inflame. Something inflames them.) A good chiro will teach you how to fix it yourself once they have gotten you started.
Tell your chiro you are interested in self-management. Ask her to check your posture and positioning on the bike. If she doesn't know bike fit, ask her to recommend a fitter or PT she likes to work with.
"If Americans want to live the American Dream, they should go to Denmark." - Richard Wilkinson