Why do you want to start out with a rear engine car? why not just something that can easly be made to be rear wheel drive?
Lithium batteries will fit most of your requirments other then not being happy being over dischanged, there are very few batteries that don't mind being discharged all the way and lithium batteries are fussy so you need a good battery management system, but really, any battery is going to do best and last longest with a battery management system.
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