What are you running & what is their cumulative power draw?
I run off mains power at home, pretty much for the same reason, to avoid the whole 'what if I run out of power' scenario...
I'm sure this will be howled down by those of a more technical bent but, here's a quick, back of the fag packet way to figure out your worst case...
Add up the max Amp draw of all your kit, for anything that's not straight 12V, I do this.. 5V = Amps x 0.5, 8V = Amps x 0.75. (I did say it was rough & dirty)... For my mount (AZEQ6) I figure about 2.5 - 3A when slewing..
Anyways, add it all up & then I use that figure as the absolute worst case A/hr figure... then I have a bit of a think about how it all really works... so, my dew heaters are on a controller & on around half the time.. camera.. pretty much full time, mount.. lot's less once it's slewed & just tracking..
This should give you a rough idea of what size battery will accomplish what; I don't want to carry a huge/heavy battery so, I use a 24 A/hr deep cycle battery (that I already owned) & I figure maybe 3 - 4hrs tops before I start to get appreciable voltage drop so, if running on battery.. that's about how long I would allow for my session...
Dunno about doing the testing regime you have asked about... because I'm a technical numpty, I probably wouldn't be doing it myself...
Don't know if this helps your thinking at all?? The other way you could go would be a LiFePo battery but, these are still pretty pricey for lots of A/hrs... but, stupidly light when compared to Lead Acid..
Cheers