You can get into the pack and charge the high-voltage cap directly from rectified line voltage.
KIDS! DON'T TRY THIS AT HOME!
I don't think you want to raise the battery pack voltage. It's designed for 6V, and going much over that is likely to fry it. Instead, go in and charge the cap directly with 300V or whatever. Take the voltage off the cap label, and go 25% or so below that, and put that much into it.
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