Based on the Steam page for that game it recommends a desktop GTX 470 GPU. The Intel HD 3000 is nowhere even close to that level of performance. The GTX 470 was selling for around $330 back in 2010; it is roughly close to a mobile Nvidia GTX 950m. That game has pretty high system requirements.
The Intel HD 3000 was released in 2011 and at best it is somewhat close to a desktop Radeon HD 5450 GPU which sold for around $45 back in 2010. See link below which has some game benchmarks for the Intel HD 3000.
http/www.notebookcheck.net/Intel-HD-Graphics-3000.37948.0.html
As for what horror games the Intel HD 3000 can run, I have no idea. I generally do not play horror games. The last one I played was Alien: Isolation (2014) and you will not be able to play that game. Before that it was Vampire The Masquerade (2004). It uses the Source Engine which is used by Half Life 2 so you should have no problems with that game. You can forget SOMA, the developer stated that Intel HD graphics are not officially supported, though the Intel HD 4000 and newer Intel graphics cores can play the game with some graphics glitches.