Go for the Project Sunrise, it's a 200$ Diy kit (all included, even PSU and Box), it's an hybrid amplifier, its drive my K340 easily, make really shine my K601 and give him a great amount of bass with a 6N23P vintage valve, i think it's the perfect match for an AKG.
This amp is not yet knows here but i think it will change... (i'm french and make review in french, so not have the time to post and translate my reviews here), but i can advice you that this little amp is a no-brainer, you can even order it already built :
http://store.garage1217.com/project-sunrise-hybrid-class-a--tube-headphone-amplifier.html
The sound of this thing is great, better than my Audio-GD C-2 (and imo a better fit for K501 than Schiit things).
here pics of the mine :


It's look like a Giant version of the Bravo, Indeed, muse thingies... but the sound is far better...
The only drawbacks of the sunrise are :
- You need to have Digital multimeter (less than 10$) to adjust bias of the Tube when installing it.
- You need a good source, you can't connect such a good amp to mp3 players or DAP, it will work but not at its best, it REALLY merits a good source like 400 or 500$ dedicated DAC.
- It's very hot, but it's normal
In my opinion, it's the best choice if you want to make your K501 shine...