Depending on the number of amp-hours you need for a night of use, you might consider a deep cycle marine battery, inverter, and some sort of charging system. Solar? A small quiet inverter generator (Honda-like) might also be a reasonable power source.
Other non-power related ideas involve an understanding of Obstructive Sleep Apnea (OSA) >>>
First, OSA has a tendency to be a weight related issue in that the more you weigh, the more likely you are to have OSA and also the more severe it is likely to be. A year ago, I had an AHI (Apnea / Hypopnea Index) of 28 (normal is < 5). This is classified as moderate OSA and I was given an auto-PAP device. My homework assignment from my lung specialist (the guy who prescribed the auto-PAP device) was to lose 20 pounds by our next visit (1 year later)... I saw him last month and had lost lost 32 pounds. A recheck of my AHI showed it to be 1.7 (normal)! He pronounced me "cured" and told me I could discontinue the auto-PAP. The point here is that IF the wife is overweight, a long haul, big picture idea for her would be to lose weight. It isn't a fast solution but it pays dividends in many areas of her health, not just OSA.
Second, OSA severity has a tendency to be positional - the direction of gravity relative to the patient's airway is important in production / reduction in degree of severety. OSA is typically worst with the patient lying flat on their back. Lying on their sides, is less bad. Lying face down (not easy) is even better than lying on a side (usually). And sitting up is probably the best position (again, usually). The wife can probably sleep reasonably well sitting up (or semi-reclined) in a big comfortable recliner. This might be a reasonable no power solution for her. She should try this before the power goes out to see if will work for her.