Go to a bike store and get them to mount a rear tie down rack that connects to the frame below your seat and the to the rear wheel mounting nuts. You could then tie down your clubs across the back and ride your bike.
You could also try talking to the pro and the course and explain your situation. There has to be a closet or something where they may let you keep your stix.
Erik - Just bought the Scorecard. When will version 2.0 come out and what other updates, new features will be included in it? Also, do we have to pay to upgrade or is that going to be free?
Any chance the newer version will include graphs (Pie, Bar graphs, etc) as part of the reports