1. There aren't any totally silent switches. Even rubberdomes will have noise. Many people like a "click" sound when a switch actuates, so the cherry blue switch accentuates that. I'm not surprised you find it annoying, coming from rubberdomes.
To "silence" a switch, many people put an o-ring or rubber "landing pad" under the keycap. This will effectively cancel out most of the noise caused by bottoming out a switch, as well as reduce the travel (the distance between the non-pressed height and depressed height, 4.0mm for most switches) but you will still getsome noise when the switch "tops out". It is possible to negate top out noise, but it can be quite difficult. The easiest way is to change your typing habits to account for it. I can type quietly when I try, and silently when I'm going slowly.
2. There are lots of white cased keyboards in many sizes. Keycool, leopold, and ducky all have offerings with various features. There are others, I'm sure, but that springs to mind first.
3. media keys are present on many, but not all keyboards. If you find the "perfect" keyboard that includes everything else, you can add media key functionality with programs like autohotkey. This is an excellent solution if you are using it only on your own personal computers.
To revisit item #1, the cherry mx blue is designed to generate a click. There are quieter switches like linear ones. If you want cherryMX, good linear switches are reds (or maybe blacks). If you are really worried about noise, I believe the matias quiet keyboards may be the best. They are one of the quietest mechanical switches that's easy to get a'hold of, and come in white. I don't know about media keys, though.
The ergoDOX is an ergonomic keyboard. It is fully programmable and may-or-may-not suit your purposes. You will have to spend a few hours assembling it, once you get a kit. It is not a retail item.
Hope this helps!