The AC power supply will often be a bit oversized for the device it's powering, especially on a medical device. What the actual device needs is 90 watts (24v x 3.75a). The power supply won't be 100% efficient, but it'll be well over 80%, so given that that spec sheet claims 104 watts MAX, I think you could plan your power budget for 120 watts and be pretty safe.
There are a few ways you could get there. Your proposed setup should get the job done - the tricky part of that setup is that solar panels need direct sunlight, no shadows at all anywhere on the panels, to get full output. You actually lose a fair amount of efficiency going from solar through the charge controllers, converting from DC to AC and then back to DC for the device itself.
For a one-off trip, it might be just as easy (although I don't know about price) going with one of those big charge banks/"solar generators" (as some companies call them and as mentioned above) that can accept solar panel inputs for charging as well as other charging methods, wall power, cigar lighter etc.
I think the most elegant and most efficient solution - and this might not make sense for a one-off trip but I think would be great in the long run - would be to use 24v worth of solar panels into a 24v charge controller that can put out a regulated 24v, wired into 2x12V batteries, and make a cable to connect that directly to the CPAP machine. That would take less solar to charge and less battery capacity to run. (maybe even 30-40% overall)
Of course, the solar generator has a whole other bunch of uses so you might get better value out of something like that in the long run. Also depends on what you might already have on hand or readily available for parts
I don't want to be too long-winded here. If you want me to elaborate on anything I'd be happy to. It's an interesting and useful project.