I don’t know if this 57 Chevy bezel tool would work or not:
http://www.danchuk.com/ItemForm.aspx?item=913#
The 1960 Chevy Truck Shop Manual does not mention a special tool for removing the bezels. There are also special tools listed with photos, and nothing shown for the switch bezels.
Also your mirror screws went in the mail today via priority mail. Should arrive your location within 2-3 days.