It's pretty archaic to have internet access and not provide it to the members via wifi. It's simple enough and if there's a real concern about security for club resources (alarm, card, video, etc, etc), most providers have the option for a second IP/Device to be plugged into the service (comcast was $5 last I looked). That second device can be a stand alone device that has absolutely no connection to the primary network. Additionally, it gives the club deniability if it's on the guest network. Finally, a simple process of updating the Password at a regular interval (Montly/quarterly) and posting it in the club keeps parking lot leeches off the wifi.
One simple reminder, it's the CLUBs internet connection, not the president's and not the officers. As a club member, you want policy changed, bring it up at a meeting, get it voted on. If the other club members agree, it'll pass, if they don't give a shit, it won't.
*Edit* and there's a ton of firewalls/routers that will do traffic control to prevent one person from consuming the entire connection and making usage crappy for everyone else.