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I'm not sure.  I don't think there's too much harm in it as long as he keeps its clean.  It's almost more like poetry with a strong beat.  Poetry inherently has to have some kind of rhythm to it, and the raps has a strange sense of blending the rhythm of the music and the rhythm / cadence of the words.

This is where some people would express a problem, that the beat riles up the passions and makes it automatically "not Catholic". I've had someone question the beat of a bluegrass song when the lyrical content was wholly Christian.

A little tangent: I don't agree with there being a "Catholic" type of music, apart from Chant (for obvious reasons), because all music ultimately comes from the Good, Almighty God. Relegating one's musical tastes to just classical is ironic considering that a lot of classical composers are either Masons, heretics, and infidels; so saying that is the only alternative option for Catholics is silly. Music is ultimately subjective, a certain type of music or beat may effect one person's passions more strongly than another's. And it can also serve a purpose to elevate one to contemplation of the Good, sometimes among otherwise non-Catholic artists.

Is there bad music? Certainly. But that has to do with the corruption of musical beauty itself. A lot of mainstream pop music is hardly music in the sense that it follows a specific formula as it is intended to be a product, not something that elevates the soul. Yet you can't necessarily condemn the type of music as there are artists in each genre that are capable of such an elevation, even if rare. So even if I don't like rap music, I can't sit here and say this is bad or not Catholic.

Agreed.
No music with drums allowed in my house.

So...even folk music that uses a small drum to help define a song's rhythm? That's ridiculous. Where in Catholic teaching/Tradition or Scripture are drums condemned as being intrinsically evil?
You can not prefer, or even be against the concept of, rap music without going off the deep end. I guess if the sound of drums instantly brings you a strong temptation to sin then maybe it would be a good idea for you to avoid it altogether. Kind of like alcoholics must avoid all alcohol, even though most people can handle using it in moderation.
But most people when they hear drums they're not like "Must...not...sin...must...resist...call...of...drums..."