How to protect a random number seed?

I'm writing an application to protect passwords from key sniffers and screen retrievers. I have the user type in an easy-to-remember keyword or phrase (i.e, "password123", "amazon.com", "gmail") and I use that string to create a longer and stronger password which is loaded into the clipboard. I want the application to be completely anonymous, so I don't save any information. To generate the passwords, I use a random number generator. I need a way for the user to carry around their seed that isn't vulnerable to key sniffers or screen retrievers. I'm thinking a hardware token like a YubiKey, but I would like something more easier and more mainstream. I tried using behavioral biometrics, but I managed to replicate them with a program too easily. Any better ideas?