What full flash player? Are you talking about the 64-bit player? Why not just use IE9 32-bit? You don't have to use the 64-bit player just b/c you're running x64 Win 7. You can download both versions, of which 32-bit is better supported.
If you are dead set on using IE9 64-bit instead of 32-bit, then you'll need Flash Player Square: http://labs.adobe.com/downloads/flas...10_square.html
You'll have to keep it manually updated, though.