If you are not using the RTC, you do not need to supply VBAT or use the crystal.
If you are supplying from a 3V coin cell, like you mention, no LDO is needed, supply VDD directly from the battery.
I am not an STM32 guy, I generally use LPC's, but this is a big M4 chip. If you want to run from a coin cell I would think you would want a smaller part, depending on the application.