Both will work. You just need to know the refresh rates available for the resolutions in which you want to run your studies. Remember that any visual stimulus needs to be shown in intervals equal to the refresh rate. So a 60hz refresh rate means that stimuli are on screen in intervals of about 17ms (1000ms/60=16.66ms). That's far from subliminal and 60hz is often the standard refresh rate* on LCD screens (there are some faster ones available now). Bottom line is that if you really need subliminal, a fast CRT is probably the way to go. Ilyama makes some CRTs that support up to 200hz in 800x600--that's a 5ms refresh rate! One other consideration with LCDs is that they look great but usually in only 1 display resolution--they stretch to accommodate others and that doesn’t look so nice. On the other hand if you don’t need blinding speed and don’t mind a single native resolution, then an LCD can be a great way to go.
There are also other issues involved with subliminal exposure of course.. see e.g., http://www.empirisoft.com/support/showthread.php?t=55
* Definitional Note: LCD screens don't techincally have a "refresh rate" in the same way that CRTs do. They have a "response time" which is how long it takes for the pixels to be updated (since only those that need to change will be redrawn). For simplicity and practicality, we are referring to an LCD's "response time" as its "refresh rate"