Funny, I would recommend a several much older DACs that have great analog performance, quality power supplies but not the "latest and (supposedly) greatest" chipsets.
My experience with most of these mid price latest/greatest chipsets is that sure, they up the bit rate, but in the end don't sound as good!
My recommendations would be a CAL (California Audio Labs) Alpha tubed DAC (preferably, since you care, the 24/96 version). These are typically around $500, but usually sell almost instantly when they do list.
Another strong recommendation would be the Kora Hermes (which does upsample) and is also a tubed DAC. This may be just above your price range, but will kill (based on those I have listened to) of the current 7 pound latest chipset dacs.
I have had some great DACs, including DCS, EMM Labs, Esoteric and others. I can tell you that these are great dacs even running at 16/44 absolutely kill these latest/greatest DACs (running 24/192 etc.). Remember, at some point the DAC needs to send an analog signal. Doing this well requires a good analog circuit design and componentry (HQ parts) and a good power supply (like in a preamp). Good power supplies cost money and have good weight to them. The best chipset in the world can't make up for a bad power supply and analog circuitry (take a look at all the HT Receivers with super high "bit rate" upsampling). They still sound like crap.
My point, you can go for super high bit rates, but this won't guarantee (or frequently deliver) better performance if the other issues (which are just as important) are not addressed.