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Dc-Dc boost converter choice for low voltages and high current

Other Parts Discussed in Thread: TPS61088

I have to say at the beginning that I am not a typical electrical-engineer and my knowledge in the mater might be somewhat limited I have though quite specific problem to solve but I can't find a proper solution for a while now. So to the point:

I have a set of 12 cameras (gopro alike) that I would like to power up with one battery (instead of original 12 separate ones that came with cameras). The cameras are working on an nominal voltage of 3.7V. The original (attached to camera) small battery when is fully charged is 4.2V and when it reaches 3.5V due to the camera circuitry it is shut down. I have purchased a Li-Ion Panasonic pack that has 6.9Ah, nominal voltage of 3.7 too (so operates from 4,2-3.5) and is able to deliver 8A (each camera when records is drawing ~0,4A). When I hooked up everything I have discovered that due to wiring there is a great voltage drop. So I started to look into dc-dc step-up converter, so I could boost the voltage to overcome the loses. I know that the voltage is boosted using bigger current daw. To conclude my question would be: Can I find any solution for a DC-DC step up converter that would fulfil those requirements: would accept voltages from 3.5 to 4.2V  on input and generate adjustable output ~4.5-4.9V but at the same time being able to output ~5.5A but  do not need more then 8A on input (as this is what max battery can give.

I have though also that maybe it would be wiser to get another battery with higher voltage and look into the step-down dc-dc converters. Would that make more sense? 

I hope this is clear enough and not to general, anyway thank you very much in advance for help!

Best,

Bart