Thanks for asking! The UD-3000 includes a DVI->HDMI adapter in the box. So yes - any HDMI monitor will work and you'll get full pixel resolution and quality up to the supported resolution (2048x1152).
In the details, the important things to think about are: Regardless of DVI vs. HDMI, all graphics are going over USB -- it's usually indistinguishable, but drivers issues can make a difference. When connecting HDMI via DVI-I, you'll be getting the subset of HDMI features that are also what DVI-I supports. It's just a normal monitor. E.g. there's no support for carrying audio, HDMI stereoscopic 3D, 30bpp, or any of the other fancier features in the later versions of the HDMI spec.
But if you're connecting to a normal HDMI monitor, those aren't going to be issues. Hope that helps. Thanks again!
Don't know. The dock has a DVI port, which I've used on both of our set ups. We run our monitors at high res, 1900 something. They make DVI to HDMI adapter, never used one though... DVI doesnt carry audio like hdmi.