Please consider an Intel processor instead of AMD, AMD is about 5 years behind Intel right now. The equivalent Intel processor is faster and uses less power.
Even at my price range? I'm not going for a high-end machine, and the low-to-mid range is where AMD seems to be competing really well right now.
The Core i-3s and i-5s are around the same price range as the A6 and are solid alternatives. The integrated GPU isn't on par with the AMD Radeon but the CPU makes up for it, and you mentioned you don't need that powerful of a GPU anyway. It's really personal preference but I'd go with Intel over AMD anyday, seeing how the latest bulldozer was a major disappointment AMD is pretty far behind Intel.