Hey there.... just a suggestion for your situation ( this is what I did to mine since I have the same little problem or situation).
Go to the settings tab.
Click all settings on the bottom left
Select the personal tab
Select the Sounds & Notifications
two choices
1st Choice
in the enable sounds for tab either unchecked the events box
2nd Choice
Select the Notifications tab
In the event part scroll down until you see messaging:new email message and uncheck the play sound box, or the vibrate, or the display message on screen.
By doing this every time you get an email you just will see the light flashing twice in the wheel button.
Sincerely
Shin_Akuma26
PS: Please press the Thank You button if I helped you some how