I compared them during 2 weeks them before going for the 717, but it was 3 month ago, so remember that my comments might be biased.
Both are very well built. The volume control is heavy, smooth and feels solid. There is strictly no precedence of one channel on the other, even at ridiculously low volumes. They both look ugly (this distinguish "I have been stolen on a Russian nuclear submarine" look of Stax), but the sound is near perfection on both.
The 007t had 2 connectors for pro Stax headpones plus one for normal (older Stax headphones). The 717 only has the 2 pro connectors, so if you have one of the oldest headphones you have to choose the 007t. They both have cinch and XLR input.
The 717 runs very hot for a solid state amp. The 007t is very hot too, but thats quite normal for his 4 tubes. They both use around 50 Watts.
I only tried them with balanced input, not the cinch, and only from a digital source. The headphones used where the Omega II and the signature 404.
Basically, they are very similar in sound I found. The 007t doesn't actually sound very "tubby" for a tube amp, and the 717 is smoother than other solid states I'm used to. The 717 uses FETs who are closer to the way tubes works than regular transistors, maybe thats why. Howewer, after extensive listening sessions I found out that the 007t had a slightly "grainy" sound, a little bit smoother but not as clean at the 717. I had the impression that the 007t had a bit more dynamics, i.e., I could listen to the music at a slightly lower volume before reaching the level where I got an impression of "flatness" in the music.
You can both turn them at full volume (with a blank track on a test CD), and you don't hear the slightest hiss. The Stax systems are totally insensitive to mobile phone interferences too, I noticed, not like my X-Can/HD-600 combo.
I liked the 007t more for my old recordings (doors, simon & garfunkel, ...), but for the biggest part of my collection (classic, electronica, drum & bass, ...), I preferred the perfect (if there is such thing

sound of the 717. Hence my choice.
However, as I said before, the differences are quite subtle. My advice would be to try them for an extensive period of time, they are just too expensive to make a mistake.