Revealing of detail, the Lambda Sigs do an excellent job. As for judging sources on overall sound, your going to have to go up to something like the BHSE to tame the sound a bit first and there goes your budget.
As we seem to include the price of amps in the figure for stats and I know they make a difference with most phones, I'm leaning toward picking a phone that doesn't need a high-end four-figure amp and power to retrieve a ton of detail and stay fairly true to the source. I've only heard the JH13 and JH16 demos and owned the UE11, but would third or fourth the JH13 recommendation. Tyll knows his stuff.