Here's an interesting thing about this situation. When Hybrid Sleep is enabled, Hibernate is not disabled. Hibernate is just removed from the power options menu.
It is not possible to have both options in the menu
. However, you can have Hibernate be the default button, and have sleep in the menu.
First, disable Hybrid Sleep in the Advanced Power Options window.
Then make Hibernate be the default power button action in the taskbar properties. Mine is set to Sleep, but makes yours hibernate.
You can then enable Hybrid Sleep if you wish. Hibernate will remain the default button, and you will be found Sleep in the menu.
Just out of curiosity, why don't you use Hybrid Sleep?