I'm sorry you were given wrong information from the AAA TA. You can most certainly get whatever you want as far as tickets w/ a package go. If you want a one day ticket w/ a package, that's fine.
And yes, you can get a AAA room only discount. Any TA or Disney can provide this rate. AAA is the only place you can get the room discount on a package though, meaning you have to call AAA.
I'd make sure you ask for a Disney Specialist next time you call your local AAA. Each office has one or two of them.
Good luck!
Jennifer
AAA Club 084