rechargeable AA energizers

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Hi, A few days ago I read an xda thread about someone who had piggybacked AA batteries to power his S7. As an answer, there was a good explanation about the risks caused by the batteries' low amperage, about the possible heat and the risks related to overload.

The idea has merit though because we all know that if there's something less than stellar on the S7, it's that the battery has a short operation time. So I wonder if, instead of using AA Alkalines, it would be better to use rechargeable AA energizer batteries. They rate 2450 mAh.
I use mine in Nikon speedlights and they can produce at least 500 shots before a complete discharge, even in almost continuous shooting. They also reload the flash's capacitors much faster than Alkalines.

The output from the s7's charger is 5V at 2000 mAh and the battery's operating voltage is 3.7V at 2200 mAh (charging limited voltage is 4.2V).

What if I made a pack of 3 or 4 of those batteries, producing 4,5V or 6 V and connected this pack to the device's AC plug? Would it be of any use to prolong the operation time of the device? Is it safe for the device? Is there any risk to burn something that way?
Thanks a lot for any info that you can give me.
T

That is something that I´m asking myself for long time.

I think, for what I´ve read and get opinion, if we won´t use a battery higher than 3.7V (4.2V) there is no problem; even considering that we can maximize the mAh for an higher value, like 6600mAh for example.

The importance is the Voltage and not the mAh.

Would like to read more about it from a person that can give some good technical advice.

Thanks
best regards
pedro