Turning off the humidifier on your CPAP machine will greatly prolong the battery life.
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Some planes have power sources -- have you checked?
Also I have purchased small battery packs that would run my laptop; don't know if there is enough power in these but they are about 3/4" thick and the size of a laptop so you can put them UNDER the laptop.
Quite a bit of time on a laptop but might not work for your machine very long. YMMV
Sleep study AHI: 49 RDI: 60 -- APAP 10-11 w/AHI: 1.5 avg for 7-days (up due likely to hip replacement recovery)
"We can all breathe together or we will all suffocate alone."