Suggestions on starting up golf league at work

I'm looking for any type of suggestions on how to go about starting up a golf league at my office, in particular, getting the word out and soliciting other golfers.  I'm not sure if pinging an HR contact is a good idea and since I don't know too many golfers that work here, this may be the greatest challenge.  Any suggestions about all aspects, though, would be appreciated.

I started a golf league at the last place I worked at by hosting a golf tournament. I approached several managers who I knew played golf and asked if they could help me. They first suggested that it be a company event so I pursued it that way. The HR department got really sticky about the legality of the tournament, citing that I would have to clear everything with the legal department before posting any ad up on the company bulletin boards. They said if I ran the tournament during a work day, I would have big opposition from the higher-ups because it may mean loss of income for the company. (ie. they would have to pay employees while they attended this company function.)

You can say, it got out of hand fast and I eventually lost interest in creating a league at work. I ended up creating a fun tournament and asking my coworkers to check around with people they worked with. Eventually I got 20-24 people interested in playing. I contacted some suppliers and asked for donations to provide prizes. They were happy to provide caps, balls and pens for tournament go-ers. After the tournament, people started talking about playing together more regularly. We formed a small league to tee off at 6:30am at a local golf course and play 9 holes before starting work at 8:30am.