There's some things you can do to try and get Skyrim to run in a playable manner. I myself use some mods to run Skyrim on an Amd 3400 Apu with 6450 graphics card.
HialgoBoost: http://www.hialgo.com/Downloads.html
SKSE (Hialgo needs this): http://skse.silverlock.org/
Reduced vanilla textures: http://www.nexusmods.com/skyrim/mods/14504/?#content
Be sure to download the Skyrim version of HialgoBoost, and not the universal one. HialgoBoost also has an .ini file in which you can tweak some settings. A good one is setting the default resolution to 50% to start with. If you're having problems with that, just ask.
Hialgo is great when it works on your system. It removes stuttering and has the option to reduce the 3D rendering resolution.
After installing these, turn down all the game settings as much as possible.
As for script heavy mods, realize that Skyrim has over 10000 scripts already. A few more won't hurt if they're not heavy.