I have the Curt Mfg. class3 trailer hitch for about $170 from Amazon.com
http://www.amazon.com/Curt-Manufacturin ... automotive
I'm not 100% sure if there is much difference in chasis between 99 and 01. I have Curt model # 13156 and it works great. Also 2" and tow rated
I tried entering your Q's year in there and it says it fits... as well as curt mfg website
http://www.curtmfg.com/HitchLookup/find ... lass3hitch
I've towed my 400lb motorcycle on a 200-300lb trailer for a round trip of about 200mi or so. no problems.
Of course, if you do plan to tow trailers, do make sure to get a trailer hitch wiring kit to power the brake lights and turn signals on the trailer. You'll also need your own hitch mount and ball to connect to the trailer. But if all you're doing is the bike rack, you'll be more than fine with just the hitch itself.
Also - again if you're towing trailers - check your suspension to make sure it can handle the tongue weight while towing (tongue weight is the downward force at the hitch mount/ball)