Perhaps the way to track it down is to solo each part and listen carefully with the headphones? Also, turn off ALL Mastering effects (we'll get to those).
Obviously, to pin it on the audio drums, solo the drums and try out all the Divisions. Listen carefully for any audio clicks etc. as you transition from one Variation through the fills to the next Variation (it's unlikely to be in the Intros and Endings, you would have probably noticed if it only happened in one of them).
Run through all the other Parts, soloed... If no clicks, now we start to reassemble the mix. Add the bass to the drums, try again (might be an EQ or level issue if it starts with that). Gradually add back all the Parts... No clicks?
OK, now turn the Master EQ back on. No clicks? Turn on the Compression. No clicks? Now play a lead sound. At some point or another, you should start to hear it again. The last element added is the likely culprit, but if all were click free when soloed, and it only clicks when everything is going, it is most likely an overload of the D/A converter. Try reducing all levels a hair. Still clicking? Try reducing the makeup gain on the Master compressor.
If it is STILL clicking, I have run out of ideas, other than bad componentry. If it's a problem with bad sample boundary points, you should hear it in the soloed drum track at any level.
Best of luck!
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An arranger is just a tool. What matters is what you build with it..!