Setting aside the lack of a dedicated graphics card (we'e already discussed this) for the moment, you have a LOT of script mods there and any number of them might be outdated or acting up without identifying themselves as such. The two I would jump all over right away are SimsMX's Hospital Overhaul, it's not going to run properly on current patch levels and is known to break games, and More Sims in Clubs (MSC) as that one can periodically cause issues, on and off depending on the world in play. Also several of Cherry92's mods are way out of date and have since been redone by other mod developers. There are a few I'm afraid I don't recognize.
I would suggest some test runs on this world with NRaas mods only to see if you can get to a point where the lag is not so severe as to ruin gameplay.
Returning to the hardware again, it would actually be surprising to get really good game performance on the EPs you have on integrated graphics. I get the sense that you are not buying into this. Does the game run better or any differently on more basic, less problematic worlds like EA's own Sunset Valley, Riverview, or Twinbrook?
