Congrats on your new purchase...

I would go with the Crate 120W with the 2X 12" drivers.
Neither amp will do the Korg justice!
A keyboard amp would be a safer option.
Guitar's do not have that much in the bottom end hence your other amp being surprising loud with a 10" speaker, soon as your Korg goes thought it the speaker starts flapping around, and before you know it - phut! One dead driver.

Use the Crate for now, but be careful with the level. Get a better amp as soon as you can.
If you only plan to use at home, or within a studio then you should get by with your Hi-Fi, or monitor speakers.
If planning on going live, a dedicated keyboard amp is recommended.
(BTW - before synth players had keyboard amps they would use bass amps and add a piezo tweeter to give some top end. The big drivers coupled with a meaty amp handled the low end their synths generated.)



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The Sonic Energy Authority - a sound investment