The case that has been mentioned in being quiet is:
PCPartPicker part list / Price breakdown by merchant / Benchmarks
Case: Fractal Design Define R4 w/Window (Titanium Grey) ATX Mid Tower Case ($99.99 @ Microcenter)
Total: $99.99
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2013-02-20 14:10 EST-0500)
It is also $20 cheaper than the Phantom.