shouldnt your current computer do it? Mines was able to, and it seems like yours is better than mine. 3DMark06 needed an pretty good CPU if I remember correctly.
But the computer in my sig (as of yet) has not been able to run long enough the get 3D Mark 06 installed. That's why I said I've never had a computer that got above 2000. Oh, and the motherboard and the CPU in my sig are on the way!
The 2 computers I've had prior to the one in my sig #1 P4, 512MB RAM, 5200FX and #2 Athlon X2 4200+, 1GB RAM, 8500GT. That's why I've never had a score above 2000.
My Processor: E2180 over clocked to 3 GHZ (2GHz is stock)
My GPU: EVGA 9800 GT - Over Clocked as high as it can go with out crashing with the fan set at 100% for the test. I think it was something like 700/1750/1000 but I dont remember exactly right now as I am at work
Memory: DDR2 667 - 2 gigs
So with this fairly out of date old setup I managed to get a 7650 Vantage Score for the GPU Test