The best and most inexpensive battery right now that will meet your needs is the Firefly, but it comes in a large group 31 size; good for cars by not bikes. Add the large capacitor as is used by AFS Trinity in their electric hybrid SUV, and you have rapid excelleration and fast recovery. Hard to top an electric hybrid for long distances today. 150 mpg on electric and 60-80 mpg combined.
The grid is the big storage medium and the battery is the small storage medium. Problem solved (and in current use daily).
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