Check ou the bq24185, but it only has 300mA USB OTG....probably could be pushed higher if needed. Is the 500mA needed for peak current or continuous current?
You can not use it for more than 10.5V. You can consider other part such bq24185.
OK, based on your description, it is a different path management that the IC is doing. Dynamic power path management is well explained in the datasheet on page 17-19. In…