That's actually a very good dac. With regard to suggestions in your price range:
1. The mjo2 looks to be a promising amp but it's too new and the original was not very good with the hd800, so that would likely be a pass.
2. I've used the wa2 with the 800 and found it pretty good but about on par with the BHC w/sb. Plus it thought the wa22 was much better. Finally you already said that you tried the BHC and that it didn't work for you.
3. As far as treble tamers for $10 you can perform THE mod and get appreciably smoother treble, which is a lot cheaper than some of these other solutions. This is a mod any moron can do, even me. If you are look for more warmth throughout the spectrum for the 800, then that changes things. Here is a wildcard choice that will give you both: Questyle cma800r. This current mode amp makes the treble velvety smooth but retains the detail, plus adds overall warmth. It's a great pairing and one of my favorites.
4. The ecp L2 amp is a great choice and you can find it for around your budget if you can catch it used. It's an end game amp IMO. http://www.ecpaudio.com/L2.shtml
5. On a budget the Vallhalla 2 with stock tubes is pretty damn good. Don't overlook it because of the cheap price. Very resolving for an OTL amp. Renders subtle details beautifully.
6. Finally, another wildcard choice...a vintage 60's-70's receiver. Many here will turn up there noses at this choice. But there are many vintage receivers that pair amazingly well with the 800. The Fisher 500c remains one of the top three pairings that heard with the 800 ever. Without any budget constraints whatsoever. There is a dedicated thread for the vintage receivers here on HF. Plus Oregonian just picked up the 800 and is a big vintage guy and I'm sure that he could help.
Good luck, kindly,
Matt
I second Matt's recommendation on vintage amps/receivers. Heard it out of my Pioneer SX-1050 and Spec 1 & 2 (preamp/amp setup from their top of the line products in the late '70's) and absolutely love the sound. Where I had read the 800 was bass light, out of these vintage speaker amps the bass is incredible. As is the entire sound signature............
Oh, and the pricing is very doable - paid $400 for the SX-1050 and $280 for the Spec stack (rare find - being at the right place at the right time- the Spec rack systems typically sell for upwards of $2K).