In this case nobody can be sure his bitcoins are safe.
Cool wallet on the paper is a good thing, but...
You make new wallet and write it on paper and put 1 btc into. After 1 year you will need put another 1 btc there, but you will not shure has your wallet the 1st 1 btc or not for some reason.
You'll need to synchronize core to be sure the your wallet has the 1st 1 btc.
If you are not sure it is a not very good idea to put your other 1 btc
It's a good practice to note down the address (Not the private key!) your long-term storage coins are held at. That way, you can check the BTC is still there on blockchain.info or any other block explorer site with no risk of compromising your private keys.
The real issue is making sure your private keys stay safe in the first place. For sums like you unfortunately lost, you need to be quite careful. Using a freshly created linux USB to create your wallet, and generating the keys offline, writing them on paper and then wiping the USB boot disk should be a pretty good solution. If you want to run a Bitcoin client and intend to ever send BTC to a wallet on that client, you should have a computer completely set aside for that purpose, in a safe space. Do not run a bitcoin client on your day-to-day computer. I wouldn't trust anything other than a fresh install of an OS to run a client on. Preferably a fresh computer as well, if you're feeling paranoid enough about rootkits etc.
Sorry for your loss. I wish we could help, but it's probably all gone now. If you still have BTC elsewhere, make sure to secure them very well.