What's your source? You may not need to worry about a DAC right away. It sounds like what you're looking for is an integrated amplifier, you could blow the entire amp budget on something like the Emotiva BassX A-100 at $240, if you have a clean source. Or go to something like the $150 Topping MX3 on the cheaper side that also has DAC.
I know the Elac Debut B5 are very well regarded...not sure how well the B6 stacks up, as are the Klipsch R-15M, and the Fluance Signature Series. The JBL's you mentioned are powered, and would require an amplifier with pre amp capability, like the Liquid Spark, or Magni 3 in order to control the volume. Also the 305P's are going to run you close to $250 for the pair.