Midge, getting backup power to your ASV is not that difficult, but the price will vary depending on how you go about it. You need some easily available accessories and a battery. The battery is the most expensive part, so let's discuss whether weight and portability is a priority over cost.
Your least expensive option is an deep cycle (marine) battery with conventional flooded lead-acid plates. This is heavy but durable and safe, but must be enclosed in an inexpensive battery box with a handle. It is the least expensive option with a lot of power. About $100 for 80 amp-hours.
Next in line is an AGM (absorbed glass mat) deep cycle battery. These are more expensive, but have no liquid acid and can be used in any position without leakage. We use AGM batteries in motorcycles, and watercraft, and they are as happy on their side or upside down. These won't leak and are safe, but are relatively heavy compared to Li-ion. About $200 for 80 amp-hours.
The lithium-ion battery is smaller and lightweight, but much more expensive and has less much capacity. Li-ion batteries are usually safe, but have been known to combust with intense heat if they fail. Amp-hour ratings are unreliable, but the MaxOak on Amazon claims 50000 milliamp hours, which is 50 amp-hours at $130.
You can use the Resmed Battery Guide
https://www.resmed.com/us/dam/documents/...lo_eng.pdf to determine how much capacity you need, and learn about 12V to 24V converters. Power consumption depends on pressure and accessories. This guide assumes you will use the humidifier. You will not have enough capacity on Li-Ion to use a humidifier, and will need to turn off the heat. The Resmed 37297 converter gives you clips to attach to a battery and a cigarette lighter plug, and works with all Airsense and Aircurve 10 machines.