Happens since the wrecking ball update, seems to me. No other game I tested causes this crash.
Already did everything proposed here :
eu.battle.net/forums/en/overwatch/topic/17611601594?page=1#post-18
MSInfo
http://pastebin.com/2JC5bCKL
DxDiag
http://pastebin.com/fTCwTabZ