A shutter speed of 4000 or better is ideal, however you may discover that since you are not in the business, a shutter speed of 2000 would be acceptable.
Cost wise, most of the low end cameras (under $300) the last I look were less than 2000 shutter speed. Cannon has a few models that hover at about $300 which has a shutter speed of 2000.
I got a bunch of Brian's 'hands on' tech help last week at the biggest gig in Golf -- the 2005 PGA Merchandise Show in Orlando. In addition to a free ride into the conference as his PGA Guest, his last bit of help -- free consultation from a guy with 21 consectutive PGA shows under his belt -- left me about $5,000 lighter. But, you guys are going to be the beneficiaries...
All I've got to do is to learn how all this stuff works!