Hey i found a way to install and integrate the design components in vs2012 64 bits, hope this might help you folks out.
First download and install the sqlite bundle from: http://system.data.sqlite.org/index.html/doc/trunk/www/downloads.wiki
notice this bundle will install the dll's in your computer, however i does not integrate them to vs2012, that's why you cant see the SQLite option when you add a connection.
To integrate SQLite to VS you will need the 32 bit version of the bundle you downloaded previously (notice it says in the description in bold letters that that is the only file that can integrate the design components with VS).
Download the 32 bit version and run it, BUT!!! SELECT CUSTOM INSTALL, AND CHECK ONLY THE CHECKBOXES FOR CORE COMPONENTS (and it's two childs) AND VISUAL STUDIO DESIGNER COMPONENTS.
Go ahead and hopefully you will get SQLite integrated in your vs. GOOD LUCK!