The BIC F-12 is a very popular budget sub woofer. I own one and it has been a great purchase. In a large space like that, you aren't going to get significant bass from any sub under $600. Whichever you choose, make sure to place it correctly, you can get much better results with proper placement. Look up the "sub crawl" method for a good technique.
5.1: Samsung PN60F5300 | Sony BDP-S1700 | Denon AVR-1713 | EMP E55Ti | EMP E56Ci | EMP E5Bi | Outlaw Ultra-X12
2.0: Oppo DV-980H | Apple Airport Express | Topping D30 | Parasound HCA-1500a | Chane A1.4