yes, you can get a new case. however, be cautious. dell sometimes uses proprietary power supply cables. i would recommend testing your current power supply with a good power supply tester, to make sure all the voltage rails line up properly. research the 24 pin layout and use a multi-meter to make sure the voltages match up. if they do, go ahead and get a new ATX case, and a new power supply. also, don't buy a crappy $20 power supply off of eBay, it will blow up in your face. buy something from SeaSonic, or if you can't afford that, Corsair, Cooler Master, or EVGA.
EDIT: now i see that someone beat me to this, if the proprietary front panel and missing faceplate is a dealbreaker to you, you can always use a screwdriver to short the...