One issue some people run into when triggering drum sounds from a keyboard is the lack of feel.
In the case of Jazz and R&B, the feel of the drum part is more important than the sounds themselves. In my opinion, you can create some very nice drum tracks using EZD, Battery, or a number of other tools if you are able to give your MIDI track that "real drummer" feel. If you are unable to get the groove you want from the keyboard, you may want to either utilize a product like Band In A Box or collaborate with a drummer to record your tracks.
If you've already addressed this point elsewhere, forgive me for bringing it up. Hope that helps.