Try using the Cakewalk TTS-1, it has 9 different "Banks" (complete presets versions) accessible thru bank selection from the MIDI track so you may very well find the right sounding organ patch your looking for by switching banks.
If not, you can add a modulation audio FX plugin like Chorus, phase, flange, or Rotary patch or what ever on the audio output channel for the organ to fine tune for perfection.
The TTS-1 uses the Roland SoundCanvas synth engine, which is really sweet especially for this era of pop music.
It can also be configured to output to 4 separate audio tracks which can be treats and tweaked with different audio plugins for some very exacting results and sound quality, and is very easy on the CPU, so if you want use it for more than 4 synth track parts, simply open up another instance of the TTS-1.