Help Choosing Headphone Amp for Audeze LCD-2

I have a pair of Audeze LCD-2's any I am looking for a headphone amp that could potentially play double duty as a pre-amp for my main system.

## Main System

Decware Torii Jr.
Decware ZP3
VPI Prime

## Options

I have been compiling a few options, budget is between 1k - 3k.

Arcam rHead
Ayre Codex
Naim DAC-V1

Woo Audio WA6 (USA)
Woo Audio WA7 (USA)
Woo Audio WA22 (USA)
Decware CSP3+ (SET) (USA)
Decware Taboo (SET) (USA)
Decware MiniTorii (SET/SEP) (USA)
LTA MZ2 (USA)

Pass Labs HPA-1 (USA)
LTA Microzotl (USA)
Audio Technica HA5050

Thanks,
Ron