Need help looking for a DAC for Samsung TV 4k


I need suggestions for a Dac Preamp for my new Samsung tv 4k. It MUST have ALL the requirements below. Please help
1. Less than 14 inches wide
2. Silver color
3. Optical input
4. VOLUME wireless remote control
6. Below $400

I already have Cambridge Dacmagic Plus and Music Hall DAC 25.3 but both lack some of what I need. Please help and Thank you all again. 
128x128nasaman
Look for a used Emotiva Stealth DC-1 DAC.  Retail on this is $499, so you should be able to find something used under $400.  It has everything you need except for the silver color.  I think it's going to be hard to find something that meets every one of your requirements.
If the Cambridge and Music Hall do not give you the sound you're looking for, then I do not believe $400 will buy you what you want.
Auxinput, that’s what I thought as well, but my guess it is the lack of a remote that is the issue. Does the volume control on the TV work with the digital output? Otherwise, how about a Benchmark DAC 1 factory refurbished?

@robelvick - Teac UD-301, no remote.

If you are okay with a remote-controlled preamp, here are a couple options, but they are not silver:

Parasound Zpre 2 - $200 used on ebay

Audio-GD C-2 - $450 plus shipping, which is over your budget, but this is likely going to be the best sound quality preamp you can buy in this price range.