The birthday visit to the amusement park sounds wonderful.
Navigating the club event sounds tricky... is there a way to do some research, for example does the school maintain a page of information including contact information for each club on its website? Are there teacher, parent, or student leaders... do you know any of them? Is there a posted schedule of meetings/activities?
The school VP may already have an impression as to the relative preparedness, attendance, and overall success of the club event. Is there some way you could volunteer to help (gather facts to create a webpage if there is not one, maintain a physical bulletin board at school, assist with a fundraiser, newsletter, sign-making, etc?)
Researching and volunteering are some of the ways parents may be involved without being misperceived as helicopter parents.