Sorry, should have mentioned I do have a DCC decoder installed and will be keeping it. Also, I never run my locos past speed step 14.
I'm assuming that the decoder will need a constant supply voltage from batteries similar to what it receives via track power, so around 22V. To date, I have converted 2 dual motor LGB locos, both with decoders, and used battery packs with 16 NiMh AA cells. This appears to work fine (all decoder functions operate as expected - lights, sound, uncouplers) and I'm getting 3 or more hours' use of the locos from a full charge, which is fine for me.
Regarding the single motor Ballerina, the Amps data I was referring to is that shown on my Navigator when running the loco on track power with nothing else active (no lights, signals, other locos, etc.). This indicates the loco is using around 0.3 amps. So, if I plug my raw data into Greg's workings above, it seems a 16 cell AAA battery pack will give me around 12.8 watt hours and, as my loco appears to use 6.6 watts per hour, I should get just under 2 hours of continuous running.
By the same token, the calculations indicate a 16 cell NiMh AA pack would give about 4 hours of continuous running for the Ballerina and this extrapolates to the results I get with my twin motor locos.
So whilst I don't have the precision measuring tools needed to get the data needed to perform the calculations to a very high level of accuracy, I now do have an indication of the difference in likely run time between AAA and AA batteries that I was after.
Thanks for the help on this.