If it comes down to it, Ill move the card. However, last night, I had a good 6-7 hours of my PC working fine. I turned on the PC this morning, and everything seems to be working. If I get ONE more flicker, Ill switch the PCI slot.
One thing thats interesting however.......is my Sound Card USED to be in the same PCI slot that the Graphics Card is in right now. I was having sound problems (computer would freeze, my sound would loop). So I eventually swapped PCI slots with the Graphics and Sound card, and my sound has worked perfect since, however now my graphics card is not working right.......hmm, bad/dirty PCI slot? But why would the new RMA'd Graphics Card work better than the old one?
BTW, thanks for all the informative responses!