I suppose if you really wanted to, you could make it your 'shell', but it'd need to be in /etc/shells or you'd need root privileges to make it so. More likely, you could just put it in your shell configs - .bashrc or .bash_profile or what have you, if bash is your shell. I wouldn't feel comfortable with such a thing, but I suppose that'd be the way to go. What's so hard about typing 'screen' or aliasing it to 's' and typing that or whatever?
As far as reattaching to sessions, the screen manual has the DdRr options. Probably
would do it.