Yeah, that's a tricky one, alright
Normally, I'd be telling you to just use
paintable flatwire , but their HDMI solution isn't ready yet.
I do wonder though, why do you need to run so many wires to your TV?!
The much better solution for you would be to use a capable AV Receiver so that you only need to run a single HDMI cable to your television. The receiver would act as your "hub", as it should, handling all of the switching between devices and audio duties. There are a number of AV receivers that include VGA computer inputs as well. They will simply convert the VGA signal to HDMI, just like all the other video input types.
If you do things that way - and I honestly think that you should - then you will only need to run a single HDMI cable from your AV receiver to your TV. Right now, it seems as though you're planning to run all of your sources directly to the television, and plan on using the televisions various inputs for switching between devices. That just doesn't make any sense to me
While not paper thin like the FlatWire stuff, there ARE fairly
flat HDMI cables available. And if you're only running one of them - which is all that should be necessary - that should be easy enough to hide using an interior cable raceway. Or better yet, you could just get a regular, white HDMI cable that blends into your baseboard and not even hide it at all!
So, to me, your biggest issue isn't hiding all of the wires, it's questioning why you need to run so many wires to your TV in the first place! If you connect all of your devices to an AV receiver instead, that will allow you to run just a single HDMI cable to your TV. And so long as both your TV and AV receiver support ARC (Audio Return Channel), you can still connect your QAM Cable or Over-the-air antenna feed directly to your TV, and that very same HDMI cable will send the audio from the TV's internal tuner back to the receiver as well. It's truly a "one cable" solution. So I think your solution here is a good AV receiver and a single HDMI cable, not a conduit on the outside of your house