Hi electricd,
This is the kind of endeavour one has to take with a pioneer spirit, assuming you might waste some cash and fail. Others have tried already with different degrees of success.
It shouldn't be difficult to configure your hdmi output to use that screen. One problem though is that by doing so, Windows will likely set your default/primary screen to the hdmi instead of the dvi-i. This may result in a challenge for some software that is written by guys who have never used more than one screen and think that anything else isn't expected.
MAME is excellent on targeting any screen that's attached to your pc, deterministically. We can't say the same for other programs, frontends specially. Also, even if MAME is great knowing where to draw, its scaling options weren't meant to be applied per screen, so you may have problems achieving 1:1 mapping on the marquee when applying some fancy scaling on the CRT at the same time (e.g. super resolutions).
To circumvent that, there's always a temptation to use some external program to draw on the marquee LCD while the emulator is rendering on the main screen, without thinking if this is a good idea at all.
In short, it can be done, you'll face some problems, there are solutions but with some compromises.