About my Intel HD3000 graphic card, is an integrated one, not a GPU, so many games like yours run a little slow with low/medium graphics settings, both in Linux and Windows, but generally Linux builds are more problematics since Unity3D Linux support is much "younger" than Windows and Mac ones, expecially is Linux native 3D Editor.
Strangely, reinstalling and try playing the Linux build again, I've noticed that if I use a graphic quality just over the "fastest" one, games load really slowly (as much that you can think it's actually freezed), however with the "fastest" graphic preset and always a 800x600 screen res. it starts (but is slower than the Windows build). On the contrary, at 800x600 in fullscreen mode it correctly stretches the image to the screen real limits (1366x768), while on Windows the image keeps its proportion and so it seems cutted on sides. Also since it never actually crashed I haven't found a crash log in the app directory nor an output log.
Anyway, at that public directory (Debris Fishing Bug Report) I've added a txt file with my complete mesa linux driver specs, if it could be usefull.
Thanks for your attention and your work!