Have a look at the LP Traditional 's.
IMHO they come as close, but you'd probably have to find one to play here, to see how close it is to your standards.
http://www2.gibson.com/Products/Electric-Guitars/Les-Paul/Gibson-USA/Les-Paul-Traditional.aspx
Mail this guy in the UK:
http://www.rollysguitars.co.uk/2008-gibson-les-paul-traditional/
He deals only in Traditional 's, and his prices are fair.