I went and got a laptop that can handle Skyrim, but when I try to run the game in offline mode, Steam says "unable to connect to Steam network" (Well duh...I just TOLD it to run in offline mode) - Is there some special procedure I need to go through to set this up so it will work?
Steam will periodically try to force itself online to check for Steam updates even if you have no network connection, to circumvent this you can copy a file from your Steam folder and replace it later when Steam wants to force a connection. I used this method once before when my internet was less than reliable, however I do not recall the specific file you need, but a quick Google search should find it for you.