By scoring, I take it you mean x-rays and then one of the different certifications possible?
I had Kit's elbows/knees/hips x-rayed last month because I wanted to make sure she's ok to do agility/frisbee at a competition level. I had no interest in certifying her or getting a score, because she's a mutt and she's spayed.
I set up the appt about 2 months in advance. They sedated her and then reversed it afterwards. They kept her all day, and she was still groggy when I picked her up. It isn't cheap no matter where you do it, but check around with different vets for the best pricing. I got quotes from about $250 to about $500. Ideally you're looking for someone who really knows how to do it, because if done badly, it won't tell you a thing. An orthopedic specialist would be best, if you can find one. You can read more about proper positioning here:
http://leerburg.com/hipart.htm Stay away from any vet who says they can do it without the sedation - they can't.
Can I ask why you're interested in having this done?