I had an Ittok, then Origin Liver Silver taper on my LP12, both were excellent, the OL possibly a tad better. There is a lot of mystery and folk lore about the LP12. Tradition was that the only arm not really suited, was the basic versions of the Rega RB300. Upgraded versions, that include origin live and and the RB 1000, are'nt a problem.
I would have thought your OL would be a good choice and anything else would be mainly a sideways move. The 2 classic top flight arms are the Ekos and Aro and I am sure they are excellent too. The best value choice, might be a second hand Ittok. They do come up now and then, particularly over here in the UK.