I'll throw a bone in here for IP-Sound for getting the sound from one computer to another. I've tried Skype, and while it works, it just has a lot of unneeded "extras" that are always running in the background, plus, you have to get multiple Skype accounts.
Here's how I run remote rig, and maybe it will give ya some ideas.
I have a Mac Mini at home that controls my TS-480HX, runs IP-Sound, and Kenwood's remote radio program.
On my MacBook Pro, I have Kenwood's remote radio program's client, and IP-Sound.
All I have to do, is to VNC into my mac mini, fire up the Kenwood software and IP-Sound. Then, from my macbook pro, either on my home network, or from anywhere on the internet, I can launch the Kenwood's client and IP-Sound, and I'm ready to receive and transmit on my rig at home. IP-Sound is very clean, requires no username registration with any outside websites, and even when working remote rig from a hotel room, or family's house, the lag time is very minimal. It's not quite like being directly in front of my machine, but, as close as I can come with the software I've tried in the past.
I've tried using HRD, and while it did work, it just always seemed like a whole lot of work to do what I wanted to do. The way I have it setup now is MUCH cleaner and much more of a simple setup than HRD. I do like HRD; it's a great program, and many like it. I don't use it much, simply because there's just a whole lot it does that I never use.
Now, back when I used windows machines to do the same thing, the only difference was that I used just the normal Remote Desktop Protocol. I'll give Microsoft this much; the RDP protocol is hands down the best remote control software I've used. Far easier and faster than VNC that I now have to use since I've gone all Mac.
You could easily use RDP to control your desktop in your basement, and use IP-Sound to carry the audio back and forth, and I think it would work out nicely for you.
Keep in mind, when running over the internet, you'll need to setup your internet router at home to allow certain ports in for both IP-Sound and RDP.