While you have more than enough RAM and your processor is (just) good enough, there is no way that you will ever get the game running on integrated Intel graphics, sorry.
Since it's a laptop, I'm not sure if you can replace the graphics card or not, someone else will have to confirm this.
I thought that would be the case And I don't think you can replace it, I'm fairly sure it's built right in with the motherboard, & I don't really wan't to replace that as I'm getting a new computer soon anyway.