Is there a reason you would not want a laptop?
If this is not being used for gaming for photoshop you don't even need the AMD APU level of chips. The built in graphics are good enough from both intel and AMD (780/880g).
A fanless setup for a desktop will be pretty pricy and not perform as well as a system with fans. Systems don't really need fan cleaning. Unless you have a specific environment, i recommend that you look for a system with fans.
I build a very modest AMD system for the type of work you are talking about and it shouolc cost around $400 with windows7 , if you go with fans, add around $200 to go fanless.