Agreed. a small shed outisde with a roll off roof housing the scope on its mount, and a laptop there to control it... To make everything stream quickly from the observatory to the computer inside then to the TV screen, your best bet would be to lay a CAT6 or CAT5e cable, and run a 1000mbit network lead between the inside and outside computers...
The setup would basically be as follows
Scope+Mount -> laptop - ethernet - indoor pc - tv screen.
You could use the indoor PC to log into the laptop and control it via RDP (Remote Desktop Protocol) in the RDP window, you would then open the planetarium software of your choice, and connect it to the mount. Then, open up the program for your video astronomy camera. All this would be happening on live on your plasma. Use the planetarium software to point your scope at the target. it will slew the scope to that point, and then simply start recording through the camera... If you used something like a Gstar-EX or a Mallincam you could have the galaxy or nebula of your choice, on the plasma screen within 5 ~ 10 seconds of starting the record... providing you had an automated roof (which I've been working on designing something if you're interested in having a look) you could push a button to open the roof, use a relay switch to power up the mount etc.. It could all be done remotely, and maybe 10 minutes between opening the roof, and having an image on the plasma.. Provided it was all setup right, .. Obviously, you cant remotely remove dustcaps from the scopes.. so that would require user input, however, if the scope was on a fork mount, and parked pointing the scope straight down (which I think the meade LX200's do (up to 10", Maybe the 12" too) and the celestron 9.25/11/14" do also, then you might get a way with not having the dust caps on the scope... you will need to clean the corrector plate a bit in that case...
Im starting to rant/ think out aloud... However its a very interesting plan, and I'd be very interested to hear in which direction you want to go... If you require any assistance setting up the computer side of things, and getting it all to work dont hesitate to ask.
I use the same RDP setup to do my planetary imaging at home... I sit inside at my 52" LCD and leave the laptop at the scope.. Control everything from inside..
Alex.