Gee Mark, it really takes a lot of battery juice for a rig like yours for even 2 nights. I have 35, 45 and 80AH batteries, and running 2 rigs (laptops and HEQ5 + EQ6, 2 cameras) can't quite get 2 nights.
Very rough figures, but in order of draw, you'd be looking at something like:
Dew heater: ?5AH?
Laptop: Very dependent on model, DVD drive etc - 0.5 - 2AH (some small footprint lappies use very little power)
Mount: 0.5-1AH tracking, 2AH slewing (wild guesses for AP off EQ6 values)
Camera, etc: 1AH
You definitely need a DC/DC convertor for lappie (and maybe mount AP uses higher voltage than 12V?).
2 big issues will be having sufficient amp hours for at least one night, and sufficient power and charging capability to be ready for next night.
Based on values above, that's around 8AH for say 10hrs - most deep cycle batteries shouldn't be taken below 30%, so that would require around a 120AH battery, unless you find a way to cut down on the dew heater.
At Leyburn if there's no-one with a genny, I found the local corner store was happy to let me leave the battery charging for a small fee.
Don't know if I'm more jealous of your beautiful mount, or of the thought you'll be under pristine skies! Probably both!