No problem, although it does kind of beg the question as to why you couldn’t find a suitable kit out of the other 75 kits I had already posted to the Forum over the years. 
All of my kits with key have some type of bass in them. That’s not a real problem, just don’t program anything for the bass part, or find a bass that sound totally different and add that to the overall sound. I can’t think of kit that has a signature Mike Shinoda kind of sound to it. But here are several I might try:
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Avicii kit - This has a synth and piano that you can double and get some great effects. The bass is not a standard bass sound.
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Either of the Prince kits - Try 'em see what you think.
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The Santana Piano & Organ kit get a lot of use
Santana Piano & Organ -
The Motown Stevie Funk kit has a clavinet in it. might be fun.
Motown Stevie Funk kit -
The Rock with Bass and Rhodes kits are usually a safe bet.