If you have access to a TSC and can get the compressed bales, they would probably be ideal for your situation. [Or even the TNT Chops.] I bet you could find a Rubbermaid (or similar) container that would fit in your SUV and also be just the right size to hold one (or maybe more) of those compressed bales (or bags of TNT Chops). [if you go with the compressed bales, I'd probably pic the alfalfa/grass mix bales, you might even get lucky and be able to get straight grass (they make them, its just a matter of whether or not your local store carries them).]
There are other companies that make compressed bales or bagged chopped forage products, just depends on what's available to you.
Triple Crown has a complete chopped forage product (it forage and supplement all in one), they also have bagged timothy and bagged alfalfa.
Lucerne Farms has chopped bagged products:
http://www.lucernefarms.com/ Don't know if they have a dealer locator on their website, but you can look.
I've been in a boarding situation, where my hay was used by the owner to feed everyone else's horses, because it was convenient to pull from my stack and I had better hay, I was not fully compensated (its been awhile, but I think they eventually replaced the used bales with their hay, which wasn't as nice, but it was clean hay).
Good luck.