First: THE STATS. THESE WILL BE UPDATED AS I CONDUCT MORE TESTS.
These usage hours are all using a Phillips Respironics PRS1 50 series APAP Pressure range 14-15 with a humidifier. I'm testing the usage hours for various humidity settings with the battery setup I chose. You can see the equipment further down this post.
Humidity setting of 5: 11 hours of usage
Volt readings:
13.2 After full charge by battery tender
12.0 After first night (5 humidity setting) 6 hours of use
6.5 After machine died in the middle of the second night. (5 humidity) 5 hours of use before dying.
Humidity setting of 3: 16 hours of usage
Volt reading - Notes
13.2 - Fully charged right after taking it off of the battery tender charger
12.3 - After first night at 3 humidity setting - 7.5 hours of usage
(forgot) - Second night of usage (3 setting) - 7 hours of usage (DIDN'T DIE ON SECOND NIGHT LIKE IT DID AT A 5 SETTING)
6.4 - Died - (3 setting) - Died after 1.5 hours of usage
Humidity setting of 1: (test not conducted yet - will be updated later)
Humidity setting OFF (test not conducted yet - will be updated later)
THE SETUP
I bought this 12V 35Ah sealed deep cycle battery. It weighs about 24 pounds. I liked that I didn't have to worry about it leaking. I bought it mainly on CapnLokis recommendation. So far I've been pretty impressed with it.

You can buy it here $69.90
I then got the Battery Tender plus to charge it with and to use its cable system. It comes with a fused quick connect wiring system that I attached to the battery and will leave connected.

You can buy it here $44.99
I got this cigarette adapter quick connect that is compatible with the Battery Tender system

You can buy it here $8.15
I got the official respironics DC cord. THIS ONE IS NOT COMPATIBLE WITH THE 60 SERIES, so if you have that, don't buy this one. One thing to note, it comes with 3 fuses. a 3Amp, 5Amp, and 7Amp. It comes with the 3Amp one pre-installed. When I attempted to use my machines humidifier with that 3Amp fuse installed, it blew the fuse. I've been using the 5Amp one without any problems, even at full humidity settings.

You can buy it here $24.95
I'm using this thing to check voltages even though I know its a poor indicator of actual Amp Hours left/charge level. (Its pretty much all I have and I cant really afford better alternatives)

You can buy it here $2.76
And finally, I bought a male to male Cigarette socket cord in hopes that I might be able to connect the battery to my cars plug while driving around during the day to add some sort of beneficial (although probably minimal) charge.

You can buy it here $7.33
All in I spent 162.55. You could spend less if you already have a battery charger and the various cables and such.
Anyway, I hope this helps someone. I'll post more results as I do more tests and I'll update this post. Please let me know if you have any comments, suggestions, recommendations or whatever that may help other people. (or myself)