IMO, you're a very opinionated chap. Adding to opinions, and respectfully disagreeing with Regis, I still think that the LF (Siemens) / LCD-3 is a phenomenal match. Of course, a $3k budget won't accommodate it, and IMO the WA22 (w/ Sophia, Treasures, Syl 7236) and LCD-2 rev. 2 is a very strong contender.
Edit: Changing my post in order to meet nigeljames's thread post specifications, as dictated in the below post.
IMO, If it's an LCD-3 you're after, IMO you won't find a better amp than the Cavalli Liquid Fire to drive it, IMO. IMO, the rub is, MSRP is over $3k. IMO, If you can find both the headphones and the amp used, you might be able to scrape by for just under $4k, IMO.
IMO, I'm with Currawong IMO. IMO, I'd extend the budget a bit IMO. IMO, it's worth it IMO.