Forum:Pinch Hopper + Verdant Sanctuary

Assume the following scenario:

I have a Pinch Hopper and a Verdant Sanctuary face-up on my side of the field. My opponent attacks and destroys my Hopper. Pinch Hopper's effect kicks in when it goes from the field to the Graveyard, but so does Verdant Sanctuary's effect (both optional). According to a ruling, I can activate Verdant Sanctuary's effect during the Damage Step, but what about the Hopper's?

Say I want to add a Chainsaw Insect to my hand through the ability of Verdant Sanctuary, then Special Summon it through Pinch Hopper's effect--would that be possible, or would it miss the timing?

Or, would I have to use Pinch Hopper's effect first, Special Summoning an Insect from my hand (if there is one), and then add an Insect to my hand from my Deck?

Ultimately, can I use both effects, or only one?