Sureª Many Linux distros they work perfectly on the i35. Manjaro works very well. The only thing is that you have to change a couple of parameters in a file so you do not hear a “clack, clack” through the speakers.
https://ubuntu-mate.community/t/screen-flickering-only-when-on-battery-skylake-16-04/5201/14
https://ubuntu-mate.community/t/crackling-sound-whenever-sound-starts-to-play/5253
P.S. Install the Budgie or Gnome version. With the XFCE version everything looks incredibly small by the resolution of the i35.