|LCD monitors shouldn't make any sound at all, not the slightest. The only thing that is likely to make a noise is a fan and I have never seen a fan inside a monitor.|
Unless you are referring to noise in the electrical sense.
In that case you have no choice but to get a monitor with a digital input. To get the digital signal from the 650 Ti it has first got to be turned to analogue for the VGA and then once it is into the monitor is is turned back to digital for the LCD. Two conversation stages from DtoA and then AtoD is bound to lead to signal degradation.