Both approaches sound entirely reasonable. HDMI-to-HDMI from the Asus intrigues me...I knew it had the input (as well as perhaps several others), but (and here I'll again reinforce my ignorance), I wasn't sure what the intention was (I figured possibly for chaining several monitors to each other, TVs?). But of course that makes sense (wish they'd included an HDMI cable as well).
Anyhow, that sounds like a simple solution. Does DVI have any advantage over HDMI or mini displayport or vice versa (not considering sound, which I know HDMI handles, but my monitor doesn't have speakers, so not an issue)?