You don't have to reconnect the computer to the internet to get access to the bitcoin in that wallet actually. You should be able to get the private key from from the wallet.dat file and then just import it to a new client.
http://bitcoin.stackexchange.com/questions/4203/how-can-i-ex...
If you end up getting rich, feel free to transfer some btc to 1P471RQS4Ga2xgakQWgbDL8WLajwPEdfMH as a thank you :)