RR3 has a JT580LP, which is a peice of crap, IMO. They stay in tune perfectly, but with just about everything else on it, I don't like them very much... The baseplate is cheap and thin, and the fine tuners don't have a responsive feel, they're rather cheap feeling and seem to be harder to turn than a Schaller or OFR. The RR5 is a string thru Tune-o-matic, probably made by Gotoh, and I love them, but nothing beats a Schaller Floyd.
I'd have saved to get a RR1 new (about $1200-$1300 new, or about $600-$800 used on ebay).
Nothing beats a USA Jackson, IMO.