The regulation calculation on the calculator page
www.anlighten.com/shop/test.php will estimate the lowest battery voltage for a given combination of Vf, Battery voltage and battery capacity.
But, Almost any 5W combination the converter board will drop out of regulation around 4.5V or higher.
The required battery current at 3V is:
6.02V/3V * 1.3 ~= 2.61A.
Since the Converter stops at around 2A, it will not be able to deliver the power required to stay in regulation.
A general rule of thumb on the Badboy and a 5W is dropout occurs around 4-4.5V and you need to keep the battery higher than this to stay in regulation.
Another possible solution is to find a step up converter that will do 3-5A on the input side so that it will have sufficient margins to stay in regulation.
The only combinations that I'm aware of that work and work well are 2X123 and 4 AAs. 3AAs is starting to get real iffy.
I plugged in the following parameters to the calculator. 3V for Vin, 6.5V for Vf, desired LED current = 0.7 and battery capacity of 2 (2amp/HR).
The calculator came back with this:
"This configuration will not work with a Badboy since the input voltage of 3 is below the regulation drop out point of 3640 Volts
or, your input voltage is less than 1.6V"
Wayne