Either would be good. Tamiya parts are usually easier to come by but yokomo is definitely a good brand as well. The TT-01E probably as more hop ups for it if he wants to go that way in the future. All the TT-01E would need (beyond what's included in the link) are drift tires (which are pretty cheap) and locking the rear diff with some jbweld or similar.

I've never owned a yokomo before though so can't say if they are better or not and how much better. Realistically, you don't need a great chassis to drift as weight isn't as much a concern as when you're racing.

I'm not sure if the yokomo comes with light buckets and leds like the tamiya does (this is very cool).

*edit* as a note, I personally think the R35 GT-R from Tamiya is a better looking body but is not a low body design like the yokomos R34.