Before my husband started to bring his own golf clubs, he used to rent the clubs. I know they had them available to rent when he played a round of golf, but I don't know how it works when you just want to hit a bucket of balls. My husband usually calls 1-407-WDW-GOLF for any information regarding the courses and prices. There are certain times of year and certain times of day that the Golf Courses are closed.
Chris
This is the link that was given to me when I was inquiring about playing @ WDW. I need to make a tee time and buy a travel case for my clubs and I am set to go! Hope this helps! http://www.wdwgolf.com/