I have a new toy, I recently started using the Silicon Optics HQV disk to look how projectors compare on jaggies, motion artifacts, and noise. The noise levels were very good and passed the test. Only on some motion artifacts on one test, was the projector a bit slow in correcting. The HC3000 does have an (image) noise filter, and the general background noise, is essentially invisible at normal viewing distances. You probably can see the noise when looking for it, but you aren't likely to notice while enjoying content. (Unless, of course, you are one of those people who spends more time analysing the image, than watching the content).
So, overall, image noise is not a problem, and the HC3000 should be better at handling it than the average DLP projector. (LCD projectors seem to have less image noise, but have other issues instead, such as vertical banding - which personally, I find to be more serious if visible.
Time to move on - a quick word about the warranty, then on to the Summary, pros and cons.