AKG K702: HEADAMP GILMORE LITE vs. WOO AUDIO 6

I have recently purchased a pair of AKG K702 headphones. What should I buy a Headamp Gilmore Lite or a Woo Audio 6 (WA6)? I thought the tube amp would smooth out the AKGs. But a SS would more easily drive the AKGs, plus they are $200 cheaper. I have never listened to the AKGs or either amp. (In fact, I have never listened to a good pair of headphones). I am buying from reviews per my taste of loudspeakers/amps.
I plan to use this set-up mostly for an office system which has a Music Hall cd-25 and Polk Audio XM Reference Tuner.

I also have a home system which has a Lexicon RT20 universal player. I may use that with the headphones from time to time. (I am happy with my home system which has Martin Logan Vista speakers, an Anthem TLP-1 preamp (SS) and an Anthem Statement A-2 amp (SS).)