Im having the same issue, any help would be appreciated.
https://pastebin.com/yUfDHPuKI am seeing a lot of reports of crashes with both directly Overwatch and the BattleNet launcher. Have you worked through these steps yet?
Repairing Blizzard Games - Repairing Battle.net Games - Blizzard Support
Uninstalling Blizzard Games - Uninstalling Games with the Battle.net Desktop App - Blizzard Support
Uninstalling Battle.net - Uninstalling the Battle.net Desktop App - Blizzard Support