What type of non-profit do you want to be?
It all depends on what type of non-profit do you want. If it is important that any donations to your organization qualify as a tax deduction for your donors, than you need to form a 501-c-3. This type of non-profit will also require the most effort (i.e. time, legal and accounting competency) to form and run. And by far requires the most reporting to the IRS.
If the tax write off isn't as important to you, a 501-c-7 or similar (community sports club) is easy to form, operate and the IRS paperwork is tons lighter!
If the tax write off is important to your sponsors, you can have them make the donation directly to the parks dept (they usually qualify or have a foundation that does) and earmark it for your course, etc.
I have formed several non-profit disc golf orgs, and operate one to this day. I have templates for articles of incorporation for both types of organizations and would be glad to talk with you about your situation. :hfive: